#include "Predicates_psm.h"
/*
* Copyright (c) 2000-2022 Inria
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
*
* * Redistributions of source code must retain the above copyright notice,
* this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright notice,
* this list of conditions and the following disclaimer in the documentation
* and/or other materials provided with the distribution.
* * Neither the name of the ALICE Project-Team nor the names of its
* contributors may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
*
* Contact: Bruno Levy
*
* https://www.inria.fr/fr/bruno-levy
*
* Inria,
* Domaine de Voluceau,
* 78150 Le Chesnay - Rocquencourt
* FRANCE
*
*/
/*
* This file is a PSM (pluggable software module)
* generated from the distribution of Geogram.
*
* See Geogram documentation on:
* http://alice.loria.fr/software/geogram/doc/html/index.html
*
* See documentation of the functions bundled in this PSM on:
* http://alice.loria.fr/software/geogram/doc/html/namespaceGEO_1_1PCK.html
*/
/******* extracted from ../basic/memory.h *******/
#ifndef GEOGRAM_BASIC_MEMORY
#define GEOGRAM_BASIC_MEMORY
#include <vector>
#include <string.h>
#include <stdlib.h>
#ifdef GEO_OS_WINDOWS
#include <windows.h>
#ifdef min
#undef min
#endif
#ifdef max
#undef max
#endif
#else
#include <unistd.h>
#endif
// Stack size depending on OS:
// Linux: 10 Mb
// Windows: 1 Mb
// Mac OSX: 512 Kb
// GEO_HAS_BIG_STACK is defined under Linux
// and lets some of the functions that
// manipulate exact precision numbers
// allocate temporaries on the stack.
#ifdef GEO_OS_LINUX
#define GEO_HAS_BIG_STACK
#endif
namespace GEO {
namespace Memory {
typedef unsigned char byte;
typedef unsigned char word8;
typedef unsigned short word16;
typedef unsigned int word32;
typedef byte* pointer;
typedef void (*function_pointer)();
inline void clear(void* addr, size_t size) {
::memset(addr, 0, size);
}
inline void copy(void* to, const void* from, size_t size) {
::memcpy(to, from, size);
}
inline pointer function_pointer_to_generic_pointer(
function_pointer fptr
) {
// I know this is ugly, but I did not find a simpler warning-free
// way that is portable between all compilers.
pointer result = nullptr;
::memcpy(&result, &fptr, sizeof(pointer));
return result;
}
inline function_pointer generic_pointer_to_function_pointer(
pointer ptr
) {
// I know this is ugly, but I did not find a simpler warning-free
// way that is portable between all compilers.
function_pointer result = nullptr;
::memcpy(&result, &ptr, sizeof(pointer));
return result;
}
inline function_pointer generic_pointer_to_function_pointer(void* ptr) {
// I know this is ugly, but I did not find a simpler warning-free
// way that is portable between all compilers.
function_pointer result = nullptr;
::memcpy(&result, &ptr, sizeof(pointer));
return result;
}
#define GEO_MEMORY_ALIGNMENT 64
template <int DIM>
struct PointAlignment {
static const size_t value = 1;
};
template <>
struct PointAlignment<2> {
static const size_t value = 16;
};
template <>
struct PointAlignment<3> {
static const size_t value = 8;
};
template <>
struct PointAlignment<4> {
static const size_t value = 32;
};
template <>
struct PointAlignment<6> {
static const size_t value = 16;
};
template <>
struct PointAlignment<8> {
static const size_t value = 64;
};
#define geo_dim_alignment(dim) GEO::Memory::PointAlignment<dim>::value
inline void* aligned_malloc(
size_t size, size_t alignment = GEO_MEMORY_ALIGNMENT
) {
#if defined(GEO_OS_ANDROID)
// Alignment not supported under Android.
geo_argused(alignment);
return malloc(size);
#elif defined(GEO_COMPILER_INTEL)
return _mm_malloc(size, alignment);
#elif defined(GEO_COMPILER_GCC) || defined(GEO_COMPILER_CLANG)
void* result;
return posix_memalign(&result, alignment, size) == 0
? result : nullptr;
#elif defined(GEO_COMPILER_MSVC)
return _aligned_malloc(size, alignment);
#else
geo_argused(alignment);
return malloc(size);
#endif
}
inline void aligned_free(void* p) {
#if defined(GEO_OS_ANDROID)
// Alignment not supported under Android.
free(p);
#elif defined(GEO_COMPILER_INTEL)
_mm_free(p);
#elif defined(GEO_COMPILER_GCC_FAMILY)
free(p);
#elif defined(GEO_COMPILER_MSVC)
_aligned_free(p);
#else
free(p);
#endif
}
#if defined(GEO_OS_ANDROID)
#define geo_decl_aligned(var) var
#elif defined(GEO_COMPILER_INTEL)
#define geo_decl_aligned(var) __declspec(aligned(GEO_MEMORY_ALIGNMENT)) var
#elif defined(GEO_COMPILER_GCC_FAMILY)
#define geo_decl_aligned(var) var __attribute__((aligned(GEO_MEMORY_ALIGNMENT)))
#elif defined(GEO_COMPILER_MSVC)
#define geo_decl_aligned(var) __declspec(align(GEO_MEMORY_ALIGNMENT)) var
#elif defined(GEO_COMPILER_EMSCRIPTEN)
#define geo_decl_aligned(var) var
#endif
#if defined(GEO_OS_ANDROID)
#define geo_assume_aligned(var, alignment)
#elif defined(GEO_COMPILER_INTEL)
#define geo_assume_aligned(var, alignment) \
__assume_aligned(var, alignment)
#elif defined(GEO_COMPILER_CLANG)
#define geo_assume_aligned(var, alignment)
// GCC __builtin_assume_aligned is not yet supported by clang-3.3
#elif defined(GEO_COMPILER_GCC)
#if __GNUC__ >= 4 && __GNUC_MINOR__ >= 7
#define geo_assume_aligned(var, alignment) \
*(void**) (&var) = __builtin_assume_aligned(var, alignment)
// the GCC way of specifying that a pointer is aligned returns
// the aligned pointer (I can't figure out why). It needs to be
// affected otherwise it is not taken into account (verified by
// looking at the output of gcc -S)
#else
#define geo_assume_aligned(var, alignment)
#endif
#elif defined(GEO_COMPILER_MSVC)
#define geo_assume_aligned(var, alignment)
// TODO: I do not know how to do that with MSVC
#elif defined(GEO_COMPILER_EMSCRIPTEN)
#define geo_assume_aligned(var, alignment)
#elif defined(GEO_COMPILER_MINGW)
#define geo_assume_aligned(var, alignment)
#endif
#if defined(GEO_COMPILER_INTEL)
#define geo_restrict __restrict
#elif defined(GEO_COMPILER_GCC_FAMILY)
#define geo_restrict __restrict__
#elif defined(GEO_COMPILER_MSVC)
#define geo_restrict __restrict
#elif defined(GEO_COMPILER_EMSCRIPTEN)
#define geo_restrict
#endif
inline bool is_aligned(
void* p, size_t alignment = GEO_MEMORY_ALIGNMENT
) {
return (reinterpret_cast<size_t>(p) & (alignment - 1)) == 0;
}
inline void* align(void* p) {
size_t offset = (
GEO_MEMORY_ALIGNMENT -
(reinterpret_cast<size_t>(p) & (GEO_MEMORY_ALIGNMENT - 1))
) & (GEO_MEMORY_ALIGNMENT - 1);
return reinterpret_cast<char*>(p) + offset;
}
#define geo_aligned_alloca(size) \
GEO::Memory::align(alloca(size + GEO_MEMORY_ALIGNMENT - 1))
template <class T, int ALIGN = GEO_MEMORY_ALIGNMENT>
class aligned_allocator {
public:
typedef T value_type;
typedef T* pointer;
typedef T& reference;
typedef const T* const_pointer;
typedef const T& const_reference;
typedef ::std::size_t size_type;
typedef ::std::ptrdiff_t difference_type;
template <class U>
struct rebind {
typedef aligned_allocator<U> other;
};
pointer address(reference x) {
return &x;
}
const_pointer address(const_reference x) {
return &x;
}
pointer allocate(
size_type nb_elt, const void* hint = nullptr
) {
geo_argused(hint);
pointer result = static_cast<pointer>(
aligned_malloc(sizeof(T) * nb_elt, ALIGN)
);
return result;
}
void deallocate(pointer p, size_type nb_elt) {
geo_argused(nb_elt);
aligned_free(p);
}
size_type max_size() const {
::std::allocator<char> a;
return std::allocator_traits<decltype(a)>::max_size(a) / sizeof(T);
}
void construct(pointer p, const_reference val) {
new (static_cast<void*>(p))value_type(val);
}
void destroy(pointer p) {
p->~value_type();
#ifdef GEO_COMPILER_MSVC
(void) p; // to avoid a "unreferenced variable" warning
#endif
}
template <class T2, int A2> operator aligned_allocator<T2, A2>() {
return aligned_allocator<T2,A2>();
}
};
template <typename T1, int A1, typename T2, int A2>
inline bool operator== (
const aligned_allocator<T1, A1>&, const aligned_allocator<T2, A2>&
) {
return true;
}
template <typename T1, int A1, typename T2, int A2>
inline bool operator!= (
const aligned_allocator<T1, A1>&, const aligned_allocator<T2, A2>&
) {
return false;
}
}
template <class T>
class vector : public ::std::vector<T, Memory::aligned_allocator<T> > {
typedef ::std::vector<T, Memory::aligned_allocator<T> > baseclass;
public:
vector() :
baseclass() {
}
explicit vector(index_t size) :
baseclass(size) {
}
explicit vector(index_t size, const T& val) :
baseclass(size, val) {
}
index_t size() const {
// casts baseclass::size() from size_t (64 bits)
// to index_t (32 bits), because all
// indices in Vorpaline are supposed to fit in 32 bits (index_t).
// TODO: geo_debug_assert(baseclass::size() < max index_t)
return index_t(baseclass::size());
}
T& operator[] (index_t i) {
geo_debug_assert(i < size());
return baseclass::operator[] (i);
}
const T& operator[] (index_t i) const {
geo_debug_assert(i < size());
return baseclass::operator[] (i);
}
T& operator[] (signed_index_t i) {
geo_debug_assert(i >= 0 && index_t(i) < size());
return baseclass::operator[] (index_t(i));
}
const T& operator[] (signed_index_t i) const {
geo_debug_assert(i >= 0 && index_t(i) < size());
return baseclass::operator[] (index_t(i));
}
#ifdef GARGANTUA // If compiled with 64 bits index_t
T& operator[] (int i) {
geo_debug_assert(i >= 0 && index_t(i) < size());
return baseclass::operator[] (index_t(i));
}
const T& operator[] (int i) const {
geo_debug_assert(i >= 0 && index_t(i) < size());
return baseclass::operator[] (index_t(i));
}
T& operator[] (unsigned int i) {
geo_debug_assert(i >= 0 && index_t(i) < size());
return baseclass::operator[] (index_t(i));
}
const T& operator[] (unsigned int i) const {
geo_debug_assert(i >= 0 && index_t(i) < size());
return baseclass::operator[] (index_t(i));
}
#endif
T* data() {
return size() == 0 ? nullptr : &(*this)[0];
}
const T* data() const {
return size() == 0 ? nullptr : &(*this)[0];
}
};
template <>
class vector<bool> : public ::std::vector<bool> {
typedef ::std::vector<bool> baseclass;
public:
vector() :
baseclass() {
}
explicit vector(index_t size) :
baseclass(size) {
}
explicit vector(index_t size, bool val) :
baseclass(size, val) {
}
index_t size() const {
// casts baseclass::size() from size_t (64 bits)
// to index_t (32 bits), because all
// indices in Vorpaline are supposed to fit in 32 bits (index_t).
// TODO: geo_debug_assert(baseclass::size() < max index_t)
return index_t(baseclass::size());
}
// TODO: operator[] with bounds checking (more complicated
// than just returning bool&, check implementation in STL).
};
}
#endif
/******* extracted from ../basic/vecg.h *******/
#ifndef GEOGRAM_BASIC_VECG
#define GEOGRAM_BASIC_VECG
#include <initializer_list>
#include <iostream>
#include <cfloat>
#include <cmath>
namespace GEO {
template <index_t DIM, class T>
class vecng {
public:
static const index_t dim = DIM;
typedef vecng<DIM, T> vector_type;
typedef T value_type;
vecng() {
for(index_t i = 0; i < DIM; i++) {
data_[i] = T(0);
}
}
// This one should never be called :
// a template constructor cannot be a copy constructor
template <class T2>
explicit vecng(const vecng<DIM, T2>& v) {
for(index_t i = 0; i < DIM; i++) {
data_[i] = T(v[i]);
}
}
// to avoid compilation problems
template <class T2, index_t DIM2>
explicit vecng(
const vecng<DIM2, T2>& v
) {
geo_debug_assert(DIM2 == DIM);
for(index_t i = 0; i < DIM; i++) {
data_[i] = T(v[i]);
}
}
template <class T2>
explicit vecng(const T2* v) {
for(index_t i = 0; i < DIM; i++) {
data_[i] = T(v[i]);
}
}
vecng(const std::initializer_list<T>& Vi) {
index_t i = 0;
for(auto& it: Vi) {
geo_debug_assert(i < DIM);
data()[i] = it;
++i;
}
}
index_t dimension() const {
return DIM;
}
T* data() {
return data_;
}
const T* data() const {
return data_;
}
inline T& operator[] (index_t i) {
geo_debug_assert(i < DIM);
return data()[i];
}
inline const T& operator[] (index_t i) const {
geo_debug_assert(i < DIM);
return data()[i];
}
inline T length2() const {
T result = T(0);
for(index_t i = 0; i < DIM; i++) {
result += data_[i] * data_[i];
}
return result;
}
inline T length() const {
return sqrt(length2());
}
inline T distance2(const vector_type& v) const {
T result(0);
for(index_t i = 0; i < DIM; i++) {
result += geo_sqr(v.data_[i] - data_[i]);
}
return result;
}
inline T distance(const vector_type& v) const {
return sqrt(distance2(v));
}
// operators
inline vector_type& operator+= (const vector_type& v) {
for(index_t i = 0; i < DIM; i++) {
data_[i] += v.data_[i];
}
return *this;
}
inline vector_type& operator-= (const vector_type& v) {
for(index_t i = 0; i < DIM; i++) {
data_[i] -= v.data_[i];
}
return *this;
}
template <class T2>
inline vector_type& operator*= (T2 s) {
for(index_t i = 0; i < DIM; i++) {
data_[i] *= T(s);
}
return *this;
}
template <class T2>
inline vector_type& operator/= (T2 s) {
for(index_t i = 0; i < DIM; i++) {
data_[i] /= T(s);
}
return *this;
}
inline vector_type operator+ (const vector_type& v) const {
vector_type result(*this);
for(index_t i = 0; i < DIM; i++) {
result.data_[i] += v.data_[i];
}
return result;
}
inline vector_type operator- (const vector_type& v) const {
vector_type result(*this);
for(index_t i = 0; i < DIM; i++) {
result.data_[i] -= v.data_[i];
}
return result;
}
template <class T2>
inline vector_type operator* (T2 s) const {
vector_type result(*this);
for(index_t i = 0; i < DIM; i++) {
result.data_[i] *= T(s);
}
return result;
}
template <class T2>
inline vector_type operator/ (T2 s) const {
vector_type result(*this);
for(index_t i = 0; i < DIM; i++) {
result.data_[i] /= T(s);
}
return result;
}
inline vector_type operator- () const {
vector_type result;
for(index_t i = 0; i < DIM; i++) {
result.data_[i] = -data_[i];
}
return result;
}
private:
T data_[DIM];
};
template <index_t DIM, class T>
inline T dot(
const vecng<DIM, T>& v1, const vecng<DIM, T>& v2
) {
T result = 0;
for(index_t i = 0; i < DIM; i++) {
result += v1[i] * v2[i];
}
return result;
}
template <class T2, index_t DIM, class T>
inline vecng<DIM, T> operator* (
T2 s, const vecng<DIM, T>& v
) {
vecng<DIM, T> result;
for(index_t i = 0; i < DIM; i++) {
result[i] = T(s) * v[i];
}
return result;
}
// Compatibility with GLSL
template <index_t DIM, class T>
inline T length(const vecng<DIM, T>& v) {
return v.length();
}
template <index_t DIM, class T>
inline T length2(const vecng<DIM, T>& v) {
return v.length2();
}
template <index_t DIM, class T>
inline T distance2(
const vecng<DIM, T>& v1, const vecng<DIM, T>& v2
) {
return v2.distance2(v1);
}
template <index_t DIM, class T>
inline T distance(
const vecng<DIM, T>& v1, const vecng<DIM, T>& v2
) {
return v2.distance(v1);
}
template <index_t DIM, class T>
inline vecng<DIM, T> normalize(
const vecng<DIM, T>& v
) {
T s = length(v);
if(s > 1e-30) {
s = T(1) / s;
}
return s * v;
}
template <index_t DIM, class T>
inline vecng<DIM, T> mix(
const vecng<DIM, T>& v1, const vecng<DIM, T>& v2, T s
) {
return (T(1) - s) * v1 + s * v2;
}
template <class T>
class vecng<2, T> {
public:
static const index_t dim = 2;
typedef vecng<dim, T> vector_type;
typedef T value_type;
vecng() :
x(0),
y(0) {
}
vecng(T x_in, T y_in) :
x(x_in),
y(y_in) {
}
template <class T2>
explicit vecng(const vecng<dim, T2>& v) :
x(v.x),
y(v.y) {
}
template <class T2>
explicit vecng(const T2* v) :
x(v[0]),
y(v[1]) {
}
vecng(const std::initializer_list<T>& Vi) {
index_t i = 0;
for(auto& it: Vi) {
geo_debug_assert(i < dim);
data()[i] = it;
++i;
}
}
inline T length2() const {
return x * x + y * y;
}
inline T length() const {
return sqrt(x * x + y * y);
}
inline T distance2(const vector_type& v) const {
T dx = v.x - x;
T dy = v.y - y;
return dx * dx + dy * dy;
}
inline T distance(const vector_type& v) const {
return sqrt(distance2(v));
}
inline vector_type& operator+= (const vector_type& v) {
x += v.x;
y += v.y;
return *this;
}
inline vector_type& operator-= (const vector_type& v) {
x -= v.x;
y -= v.y;
return *this;
}
template <class T2>
inline vector_type& operator*= (T2 s) {
x *= T(s);
y *= T(s);
return *this;
}
template <class T2>
inline vector_type& operator/= (T2 s) {
x /= T(s);
y /= T(s);
return *this;
}
inline vector_type operator+ (const vector_type& v) const {
return vector_type(x + v.x, y + v.y);
}
inline vector_type operator- (const vector_type& v) const {
return vector_type(x - v.x, y - v.y);
}
template <class T2>
inline vector_type operator* (T2 s) const {
return vector_type(x * T(s), y * T(s));
}
template <class T2>
inline vector_type operator/ (T2 s) const {
return vector_type(x / T(s), y / T(s));
}
inline vector_type operator- () const {
return vector_type(-x, -y);
}
index_t dimension() const {
return dim;
}
T* data() {
return &x;
}
const T* data() const {
return &x;
}
inline T& operator[] (index_t i) {
geo_debug_assert(i < dim);
return data()[i];
}
inline const T& operator[] (index_t i) const {
geo_debug_assert(i < dim);
return data()[i];
}
void optimize() {
Numeric::optimize_number_representation(x);
Numeric::optimize_number_representation(y);
}
T x;
T y;
};
template <class T>
inline T dot(
const vecng<2, T>& v1, const vecng<2, T>& v2
) {
return v1.x * v2.x + v1.y * v2.y;
}
template <class T>
inline T det(
const vecng<2, T>& v1, const vecng<2, T>& v2
) {
return v1.x * v2.y - v1.y * v2.x;
}
template <class T2, class T>
inline vecng<2, T> operator* (
T2 s, const vecng<2, T>& v
) {
return vecng<2, T>(T(s) * v.x, T(s) * v.y);
}
template <class T>
class vecng<3, T> {
public:
static const index_t dim = 3;
typedef vecng<dim, T> vector_type;
typedef T value_type;
vecng() :
x(T(0.0)),
y(T(0.0)),
z(T(0.0)) {
}
vecng(T x_in, T y_in, T z_in) :
x(x_in),
y(y_in),
z(z_in) {
}
template <class T2>
explicit vecng(const vecng<dim, T2>& v) :
x(v.x),
y(v.y),
z(v.z) {
}
template <class T2>
explicit vecng(const T2* v) :
x(v[0]),
y(v[1]),
z(v[2]) {
}
vecng(const std::initializer_list<T>& Vi) {
index_t i = 0;
for(auto& it: Vi) {
geo_debug_assert(i < dim);
data()[i] = it;
++i;
}
}
inline T length2() const {
return x * x + y * y + z * z;
}
inline T length() const {
return sqrt(x * x + y * y + z * z);
}
inline T distance2(const vector_type& v) const {
T dx = v.x - x;
T dy = v.y - y;
T dz = v.z - z;
return dx * dx + dy * dy + dz * dz;
}
inline T distance(const vector_type& v) const {
return sqrt(distance2(v));
}
inline vector_type& operator+= (const vector_type& v) {
x += v.x;
y += v.y;
z += v.z;
return *this;
}
inline vector_type& operator-= (const vector_type& v) {
x -= v.x;
y -= v.y;
z -= v.z;
return *this;
}
template <class T2>
inline vector_type& operator*= (T2 s) {
x *= T(s);
y *= T(s);
z *= T(s);
return *this;
}
template <class T2>
inline vector_type& operator/= (T2 s) {
x /= T(s);
y /= T(s);
z /= T(s);
return *this;
}
inline vector_type operator+ (const vector_type& v) const {
return vector_type(x + v.x, y + v.y, z + v.z);
}
inline vector_type operator- (const vector_type& v) const {
return vector_type(x - v.x, y - v.y, z - v.z);
}
template <class T2>
inline vector_type operator* (T2 s) const {
return vector_type(x * T(s), y * T(s), z * T(s));
}
template <class T2>
inline vector_type operator/ (T2 s) const {
return vector_type(x / T(s), y / T(s), z / T(s));
}
inline vector_type operator- () const {
return vector_type(-x, -y, -z);
}
index_t dimension() const {
return dim;
}
T* data() {
return &x;
}
const T* data() const {
return &x;
}
inline T& operator[] (index_t i) {
geo_debug_assert(i < dim);
return data()[i];
}
inline const T& operator[] (index_t i) const {
geo_debug_assert(i < dim);
return data()[i];
}
void optimize() {
Numeric::optimize_number_representation(x);
Numeric::optimize_number_representation(y);
Numeric::optimize_number_representation(z);
}
T x;
T y;
T z;
};
template <class T>
inline T dot(
const vecng<3, T>& v1, const vecng<3, T>& v2
) {
return v1.x * v2.x + v1.y * v2.y + v1.z * v2.z;
}
template <class T>
inline vecng<3, T> cross(
const vecng<3, T>& v1, const vecng<3, T>& v2
) {
return vecng<3, T>(
det2x2(v1.y, v2.y, v1.z, v2.z),
det2x2(v1.z, v2.z, v1.x, v2.x),
det2x2(v1.x, v2.x, v1.y, v2.y)
);
}
template <class T2, class T>
inline vecng<3, T> operator* (
T2 s, const vecng<3, T>& v
) {
return vecng<3, T>(T(s) * v.x, T(s) * v.y, T(s) * v.z);
}
template <class T>
class vecng<4, T> {
public:
static const index_t dim = 4;
typedef vecng<dim, T> vector_type;
typedef T value_type;
vecng() :
x(0),
y(0),
z(0),
w(0) {
}
vecng(T x_in, T y_in, T z_in, T w_in) :
x(x_in),
y(y_in),
z(z_in),
w(w_in) {
}
template <class T2>
explicit vecng(const vecng<dim, T2>& v) :
x(v.x),
y(v.y),
z(v.z),
w(v.w) {
}
template <class T2>
explicit vecng(const T2* v) :
x(v[0]),
y(v[1]),
z(v[2]),
w(v[3]) {
}
vecng(const std::initializer_list<T>& Vi) {
index_t i = 0;
for(auto& it: Vi) {
geo_debug_assert(i < dim);
data()[i] = it;
++i;
}
}
inline T length2() const {
return x * x + y * y + z * z + w * w;
}
inline T length() const {
return sqrt(x * x + y * y + z * z + w * w);
}
inline T distance2(const vector_type& v) const {
T dx = v.x - x;
T dy = v.y - y;
T dz = v.z - z;
T dw = v.w - w;
return dx * dx + dy * dy + dz * dz + dw * dw;
}
inline T distance(const vector_type& v) const {
return sqrt(distance2(v));
}
index_t dimension() const {
return dim;
}
inline vector_type& operator+= (const vector_type& v) {
x += v.x;
y += v.y;
z += v.z;
w += v.w;
return *this;
}
inline vector_type& operator-= (const vector_type& v) {
x -= v.x;
y -= v.y;
z -= v.z;
w -= v.w;
return *this;
}
template <class T2>
inline vector_type& operator*= (T2 s) {
x *= T(s);
y *= T(s);
z *= T(s);
w *= T(s);
return *this;
}
template <class T2>
inline vector_type& operator/= (T2 s) {
x /= T(s);
y /= T(s);
z /= T(s);
w /= T(s);
return *this;
}
inline vector_type operator+ (const vector_type& v) const {
return vector_type(x + v.x, y + v.y, z + v.z, w + v.w);
}
inline vector_type operator- (const vector_type& v) const {
return vector_type(x - v.x, y - v.y, z - v.z, w - v.w);
}
template <class T2>
inline vector_type operator* (T2 s) const {
return vector_type(x * T(s), y * T(s), z * T(s), w * T(s));
}
template <class T2>
inline vector_type operator/ (T2 s) const {
return vector_type(x / T(s), y / T(s), z / T(s), w / T(s));
}
inline vector_type operator- () const {
return vector_type(-x, -y, -z, -w);
}
T* data() {
return &x;
}
const T* data() const {
return &x;
}
inline T& operator[] (index_t i) {
geo_debug_assert(i < dim);
return data()[i];
}
inline const T& operator[] (index_t i) const {
geo_debug_assert(i < dim);
return data()[i];
}
T x;
T y;
T z;
T w;
};
template <class T>
inline T dot(
const vecng<4, T>& v1, const vecng<4, T>& v2
) {
return v1.x * v2.x + v1.y * v2.y + v1.z * v2.z + v1.w * v2.w;
}
template <class T2, class T>
inline vecng<4, T> operator* (
T2 s, const vecng<4, T>& v
) {
return vecng<4, T>(T(s) * v.x, T(s) * v.y, T(s) * v.z, T(s) * v.w);
}
template <index_t DIM, class T>
inline std::ostream& operator<< (
std::ostream& out, const GEO::vecng<DIM, T>& v
) {
const char* sep = "";
for(index_t i = 0; i < DIM; i++) {
out << sep << v[i];
sep = " ";
}
return out;
}
template <index_t DIM, class T>
inline std::istream& operator>> (
std::istream& in, GEO::vecng<DIM, T>& v
) {
for(index_t i = 0; i < DIM; i++) {
in >> v[i];
}
return in;
}
namespace Numeric {
template<class T>
inline void optimize_number_representation(
vecng<2,T>& v
) {
v.optimize();
}
template<class T>
inline void optimize_number_representation(
vecng<3,T>& v
) {
v.optimize();
}
}
}
#endif
/******* extracted from ../basic/matrix.h *******/
#ifndef GEOGRAM_BASIC_MATRIX
#define GEOGRAM_BASIC_MATRIX
#include <initializer_list>
namespace GEO {
template <index_t DIM, class FT>
class Matrix {
public:
typedef Matrix<DIM, FT> matrix_type;
typedef FT value_type;
static const index_t dim = DIM;
inline Matrix() {
load_identity();
}
explicit Matrix(const FT* vals) {
for(index_t i = 0; i < DIM; i++) {
for(index_t j = 0; j < DIM; j++) {
coeff_[i][j] = *vals;
++vals;
}
}
}
Matrix(const std::initializer_list< std::initializer_list<FT> >& Mi) {
index_t i = 0;
for(auto& it: Mi) {
index_t j = 0;
for(auto& jt: it) {
geo_debug_assert(i < DIM);
geo_debug_assert(j < DIM);
coeff_[i][j] = jt;
++j;
}
++i;
}
}
inline index_t dimension() const {
return DIM;
}
inline void load_zero() {
for(index_t i = 0; i < DIM; i++) {
for(index_t j = 0; j < DIM; j++) {
coeff_[i][j] = FT(0);
}
}
}
inline void load_identity() {
for(index_t i = 0; i < DIM; i++) {
for(index_t j = 0; j < DIM; j++) {
coeff_[i][j] = (i == j) ? FT(1) : FT(0);
}
}
}
inline bool is_identity() const {
for(index_t i = 0; i < DIM; i++) {
for(index_t j = 0; j < DIM; j++) {
FT rhs = ((i == j) ? FT(1) : FT(0));
if(coeff_[i][j] != rhs) {
return false;
}
}
}
return true;
}
inline FT& operator() (index_t i, index_t j) {
geo_debug_assert(i < DIM);
geo_debug_assert(j < DIM);
return coeff_[i][j];
}
inline const FT& operator() (index_t i, index_t j) const {
geo_debug_assert(i < DIM);
geo_debug_assert(j < DIM);
return coeff_[i][j];
}
inline matrix_type& operator+= (const matrix_type& m) {
for(index_t i = 0; i < DIM; i++) {
for(index_t j = 0; j < DIM; j++) {
coeff_[i][j] += m.coeff_[i][j];
}
}
return *this;
}
inline matrix_type& operator-= (const matrix_type& m) {
for(index_t i = 0; i < DIM; i++) {
for(index_t j = 0; j < DIM; j++) {
coeff_[i][j] -= m.coeff_[i][j];
}
}
return *this;
}
inline matrix_type& operator*= (FT val) {
for(index_t i = 0; i < DIM; i++) {
for(index_t j = 0; j < DIM; j++) {
coeff_[i][j] *= val;
}
}
return *this;
}
inline matrix_type& operator/= (FT val) {
for(index_t i = 0; i < DIM; i++) {
for(index_t j = 0; j < DIM; j++) {
coeff_[i][j] /= val;
}
}
return *this;
}
inline matrix_type operator+ (const matrix_type& m) const {
matrix_type result = *this;
result += m;
return result;
}
inline matrix_type operator- (const matrix_type& m) const {
matrix_type result = *this;
result -= m;
return result;
}
inline matrix_type operator* (FT val) const {
matrix_type result = *this;
result *= val;
return result;
}
inline matrix_type operator/ (FT val) const {
matrix_type result = *this;
result /= val;
return result;
}
matrix_type operator* (const matrix_type& m) const {
matrix_type result;
for(index_t i = 0; i < DIM; i++) {
for(index_t j = 0; j < DIM; j++) {
result.coeff_[i][j] = FT(0);
for(index_t k = 0; k < DIM; k++) {
result.coeff_[i][j] += coeff_[i][k] * m.coeff_[k][j];
}
}
}
return result;
}
matrix_type inverse() const {
matrix_type result;
bool invertible = compute_inverse(result);
geo_assert(invertible);
return result;
}
bool compute_inverse(matrix_type& result) const {
FT val=FT(0.0), val2=FT(0.0);
matrix_type tmp = (*this);
result.load_identity();
for(index_t i = 0; i != DIM; i++) {
val = tmp(i, i); /* find pivot */
index_t ind = i;
for(index_t j = i + 1; j != DIM; j++) {
if(fabs(tmp(j, i)) > fabs(val)) {
ind = j;
val = tmp(j, i);
}
}
if(ind != i) {
for(index_t j = 0; j != DIM; j++) {
val2 = result(i, j);
result(i, j) = result(ind, j);
result(ind, j) = val2; /* swap columns */
val2 = tmp(i, j);
tmp(i, j) = tmp(ind, j);
tmp(ind, j) = val2;
}
}
if(val == 0.0) {
return false;
}
for(index_t j = 0; j != DIM; j++) {
tmp(i, j) /= val;
result(i, j) /= val;
}
for(index_t j = 0; j != DIM; j++) {
if(j == i) {
continue; /* eliminate column */
}
val = tmp(j, i);
for(index_t k = 0; k != DIM; k++) {
tmp(j, k) -= tmp(i, k) * val;
result(j, k) -= result(i, k) * val;
}
}
}
return true;
}
matrix_type transpose() const {
matrix_type result;
for(index_t i = 0; i < DIM; i++) {
for(index_t j = 0; j < DIM; j++) {
result(i, j) = (* this)(j, i);
}
}
return result;
}
inline const FT* data() const {
return &(coeff_[0][0]);
}
inline FT* data() {
return &(coeff_[0][0]);
}
void get_lower_triangle(FT* store) const {
for(index_t i = 0; i < DIM; i++) {
for(index_t j = 0; j <= i; j++) {
*store++ = coeff_[i][j];
}
}
}
private:
FT coeff_[DIM][DIM];
};
template <index_t DIM, class FT>
inline std::ostream& operator<< (
std::ostream& output, const Matrix<DIM, FT>& m
) {
const char* sep = "";
for(index_t i = 0; i < DIM; i++) {
for(index_t j = 0; j < DIM; j++) {
output << sep << m(i, j);
sep = " ";
}
}
return output;
}
template <index_t DIM, class FT>
inline std::istream& operator>> (
std::istream& input, Matrix<DIM, FT>& m
) {
for(index_t i = 0; i < DIM; i++) {
for(index_t j = 0; j < DIM; j++) {
input >> m(i, j);
}
}
return input;
}
template <index_t DIM, class FT> inline
void mult(const Matrix<DIM, FT>& M, const FT* x, FT* y) {
for(index_t i = 0; i < DIM; i++) {
y[i] = 0;
for(index_t j = 0; j < DIM; j++) {
y[i] += M(i, j) * x[j];
}
}
}
template <index_t DIM, class FT> inline
vecng<DIM,FT> operator*(
const Matrix<DIM, FT>& M, const vecng<DIM,FT>& x
) {
vecng<DIM,FT> y;
for(index_t i = 0; i < DIM; i++) {
y[i] = 0;
for(index_t j = 0; j < DIM; j++) {
y[i] += M(i, j) * x[j];
}
}
return y;
}
template <index_t DIM, class FT> inline
vecng<DIM,FT> mult(
const Matrix<DIM, FT>& M, const vecng<DIM,FT>& x
) {
vecng<DIM,FT> y;
for(index_t i = 0; i < DIM; i++) {
y[i] = 0;
for(index_t j = 0; j < DIM; j++) {
y[i] += M(i, j) * x[j];
}
}
return y;
}
}
#endif
/******* extracted from multi_precision.h *******/
#ifndef GEOGRAM_NUMERICS_MULTI_PRECISION
#define GEOGRAM_NUMERICS_MULTI_PRECISION
#include <iostream>
#include <sstream>
#include <new>
#include <math.h>
namespace GEO {
extern double expansion_splitter_;
extern double expansion_epsilon_;
inline void two_sum(double a, double b, double& x, double& y) {
x = a + b;
double bvirt = x - a;
double avirt = x - bvirt;
double bround = b - bvirt;
double around = a - avirt;
y = around + bround;
}
inline void two_diff(double a, double b, double& x, double& y) {
x = a - b;
double bvirt = a - x;
double avirt = x + bvirt;
double bround = bvirt - b;
double around = a - avirt;
y = around + bround;
}
inline void split(double a, double& ahi, double& alo) {
double c = expansion_splitter_ * a;
double abig = c - a;
ahi = c - abig;
alo = a - ahi;
}
inline void two_product(double a, double b, double& x, double& y) {
#ifdef FP_FAST_FMA
// If the target processor supports the FMA (Fused Multiply Add)
// instruction, then the product of two doubles into a length-2
// expansion can be implemented as follows. Thanks to Marc Glisse
// for the information.
// Note: under gcc, automatic generations of fma() for a*b+c needs
// to be deactivated, using -ffp-contract=off, else it may break
// other functions such as fast_expansion_sum_zeroelim().
x = a*b;
y = fma(a,b,-x);
#else
x = a * b;
double ahi, alo;
split(a, ahi, alo);
double bhi, blo;
split(b, bhi, blo);
double err1 = x - (ahi * bhi);
double err2 = err1 - (alo * bhi);
double err3 = err2 - (ahi * blo);
y = (alo * blo) - err3;
#endif
}
inline void square(double a, double& x, double& y) {
#ifdef FP_FAST_FMA
// If the target processor supports the FMA (Fused Multiply Add)
// instruction, then the product of two doubles into a length-2
// expansion can be implemented as follows. Thanks to Marc Glisse
// for the information.
// Note: under gcc, automatic generations of fma() for a*b+c needs
// to be deactivated, using -ffp-contract=off, else it may break
// other functions such as fast_expansion_sum_zeroelim().
x = a*a;
y = fma(a,a,-x);
#else
x = a * a;
double ahi, alo;
split(a, ahi, alo);
double err1 = x - (ahi * ahi);
double err3 = err1 - ((ahi + ahi) * alo);
y = (alo * alo) - err3;
#endif
}
class GEOGRAM_API expansion {
public:
index_t length() const {
return length_;
}
index_t capacity() const {
return capacity_;
}
void set_length(index_t new_length) {
geo_debug_assert(new_length <= capacity());
length_ = new_length;
}
const double& operator[] (index_t i) const {
// Note: we allocate capacity+1 storage
// systematically, since basic functions
// may access one additional value (without
// using it)
geo_debug_assert(i <= capacity_);
return x_[i];
}
double& operator[] (index_t i) {
// Note: we allocate capacity+1 storage
// systematically, since basic functions
// may access one additional value (without
// using it)
geo_debug_assert(i <= capacity_);
return x_[i];
}
double* data() {
return x_;
}
const double* data() const {
return x_;
}
static size_t bytes(index_t capa) {
// --> 2*sizeof(double) because x_ is declared of size [2]
// to avoid compiler's warning.
// --> capa+1 to have an additional 'sentry' at the end
// because fast_expansion_sum_zeroelim() may access
// an entry past the end (without using it).
return
sizeof(expansion) - 2 * sizeof(double) +
(capa + 1) * sizeof(double);
}
static size_t bytes_on_stack(index_t capa) {
#ifndef GEO_HAS_BIG_STACK
// Note: standard predicates need at least 512, hence the min.
// index_t(MAX_CAPACITY_ON_STACK) is necessary, else with
// MAX_CAPACITY_ON_STACK alone the compiler tries to generate a
// reference to NOT_IN_LIST resulting in a link error.
// (weird, even with constexpr, I do not understand...)
// Probably when the function excepts a *reference*
geo_debug_assert(
capa <= std::max(index_t(MAX_CAPACITY_ON_STACK),index_t(512))
);
#endif
return bytes(capa);
}
expansion(index_t capa) :
length_(0),
capacity_(capa) {
}
#ifdef CPPCHECK
// cppcheck does not understand that the result
// of alloca() is passed to the placement syntax
// of operator new.
expansion& new_expansion_on_stack(index_t capa);
#else
#define new_expansion_on_stack(capa) \
(new (alloca(expansion::bytes_on_stack(capa)))expansion(capa))
#endif
static expansion* new_expansion_on_heap(index_t capa);
static void delete_expansion_on_heap(expansion* e);
// ========================== Initialization from doubles
expansion& assign(double a) {
set_length(1);
x_[0] = a;
return *this;
}
expansion& assign(const expansion& rhs) {
geo_debug_assert(capacity() >= rhs.length());
set_length(rhs.length());
for(index_t i=0; i<rhs.length(); ++i) {
x_[i] = rhs.x_[i];
}
return *this;
}
expansion& assign_abs(const expansion& rhs) {
assign(rhs);
if(sign() == NEGATIVE) {
negate();
}
return *this;
}
static index_t sum_capacity(double a, double b) {
geo_argused(a);
geo_argused(b);
return 2;
}
expansion& assign_sum(double a, double b) {
set_length(2);
two_sum(a, b, x_[1], x_[0]);
return *this;
}
static index_t diff_capacity(double a, double b) {
geo_argused(a);
geo_argused(b);
return 2;
}
expansion& assign_diff(double a, double b) {
set_length(2);
two_diff(a, b, x_[1], x_[0]);
return *this;
}
static index_t product_capacity(double a, double b) {
geo_argused(a);
geo_argused(b);
return 2;
}
expansion& assign_product(double a, double b) {
set_length(2);
two_product(a, b, x_[1], x_[0]);
return *this;
}
static index_t square_capacity(double a) {
geo_argused(a);
return 2;
}
expansion& assign_square(double a) {
set_length(2);
square(a, x_[1], x_[0]);
return *this;
}
// ====== Initialization from expansion and double
static index_t sum_capacity(const expansion& a, double b) {
geo_argused(b);
return a.length() + 1;
}
expansion& assign_sum(const expansion& a, double b);
static index_t diff_capacity(const expansion& a, double b) {
geo_argused(b);
return a.length() + 1;
}
expansion& assign_diff(const expansion& a, double b);
static index_t product_capacity(const expansion& a, double b) {
geo_argused(b);
// TODO: implement special case where the double argument
// is a power of two.
return a.length() * 2;
}
expansion& assign_product(const expansion& a, double b);
// ========================== Initialization from expansions
static index_t sum_capacity(const expansion& a, const expansion& b) {
return a.length() + b.length();
}
expansion& assign_sum(const expansion& a, const expansion& b);
static index_t sum_capacity(
const expansion& a, const expansion& b, const expansion& c
) {
return a.length() + b.length() + c.length();
}
expansion& assign_sum(
const expansion& a, const expansion& b, const expansion& c
);
static index_t sum_capacity(
const expansion& a, const expansion& b,
const expansion& c, const expansion& d
) {
return a.length() + b.length() + c.length() + d.length();
}
expansion& assign_sum(
const expansion& a, const expansion& b,
const expansion& c, const expansion& d
);
static index_t diff_capacity(const expansion& a, const expansion& b) {
return a.length() + b.length();
}
expansion& assign_diff(const expansion& a, const expansion& b);
static index_t product_capacity(
const expansion& a, const expansion& b
) {
return a.length() * b.length() * 2;
}
expansion& assign_product(const expansion& a, const expansion& b);
static index_t product_capacity(
const expansion& a, const expansion& b, const expansion& c
) {
return a.length() * b.length() * c.length() * 4;
}
expansion& assign_product(
const expansion& a, const expansion& b, const expansion& c
);
static index_t square_capacity(const expansion& a) {
if(a.length() == 2) {
return 6;
} // see two_square()
return a.length() * a.length() * 2;
}
expansion& assign_square(const expansion& a);
// ====== Determinants =============================
static index_t det2x2_capacity(
const expansion& a11, const expansion& a12,
const expansion& a21, const expansion& a22
) {
return
product_capacity(a11, a22) +
product_capacity(a21, a12);
}
expansion& assign_det2x2(
const expansion& a11, const expansion& a12,
const expansion& a21, const expansion& a22
);
static index_t det3x3_capacity(
const expansion& a11, const expansion& a12, const expansion& a13,
const expansion& a21, const expansion& a22, const expansion& a23,
const expansion& a31, const expansion& a32, const expansion& a33
) {
// Development w.r.t. first row
index_t c11_capa = det2x2_capacity(a22, a23, a32, a33);
index_t c12_capa = det2x2_capacity(a21, a23, a31, a33);
index_t c13_capa = det2x2_capacity(a21, a22, a31, a32);
return 2 * (
a11.length() * c11_capa +
a12.length() * c12_capa +
a13.length() * c13_capa
);
}
expansion& assign_det3x3(
const expansion& a11, const expansion& a12, const expansion& a13,
const expansion& a21, const expansion& a22, const expansion& a23,
const expansion& a31, const expansion& a32, const expansion& a33
);
static index_t det_111_2x3_capacity(
const expansion& a21, const expansion& a22, const expansion& a23,
const expansion& a31, const expansion& a32, const expansion& a33
) {
return
det2x2_capacity(a22, a23, a32, a33) +
det2x2_capacity(a23, a21, a33, a31) +
det2x2_capacity(a21, a22, a31, a32);
}
expansion& assign_det_111_2x3(
const expansion& a21, const expansion& a22, const expansion& a23,
const expansion& a31, const expansion& a32, const expansion& a33
);
// ======= Geometry-specific initializations =======
static index_t sq_dist_capacity(coord_index_t dim) {
return index_t(dim) * 6;
}
expansion& assign_sq_dist(
const double* p1, const double* p2, coord_index_t dim
);
static index_t dot_at_capacity(coord_index_t dim) {
return index_t(dim) * 8;
}
expansion& assign_dot_at(
const double* p1, const double* p2, const double* p0,
coord_index_t dim
);
static index_t length2_capacity(
const expansion& x, const expansion& y, const expansion& z
) {
return square_capacity(x) + square_capacity(y) + square_capacity(z);
}
expansion& assign_length2(
const expansion& x, const expansion& y, const expansion& z
);
// =============== some general purpose functions =========
static void initialize();
expansion& negate() {
for(index_t i = 0; i < length_; ++i) {
x_[i] = -x_[i];
}
return *this;
}
expansion& scale_fast(double s) {
// TODO: debug assert is_power_of_two(s)
for(index_t i = 0; i < length_; ++i) {
x_[i] *= s;
}
return *this;
}
double estimate() const {
double result = 0.0;
for(index_t i = 0; i < length(); ++i) {
result += x_[i];
}
return result;
}
Sign sign() const {
if(length() == 0) {
return ZERO;
}
return geo_sgn(x_[length() - 1]);
}
bool is_same_as(const expansion& rhs) const;
bool is_same_as(double rhs) const;
Sign compare(const expansion& rhs) const;
Sign compare(double rhs) const;
bool equals(const expansion& rhs) const {
return (compare(rhs) == ZERO);
}
bool equals(double rhs) const {
return (compare(rhs) == ZERO);
}
std::ostream& show(std::ostream& out) const {
out << "expansion[" << length() << "] = [";
for(index_t i=0; i<length(); ++i) {
out << (*this)[i] << " ";
}
out << "]";
return out;
}
std::string to_string() const {
std::ostringstream out;
show(out);
return out.str();
}
void optimize();
static void show_all_stats();
protected:
static index_t sub_product_capacity(
index_t a_length, index_t b_length
) {
return a_length * b_length * 2;
}
expansion& assign_sub_product(
const double* a, index_t a_length, const expansion& b
);
expansion(const expansion& rhs) = delete;
expansion& operator= (const expansion& rhs) = delete;
private:
#ifdef GEO_OS_APPLE
static constexpr index_t MAX_CAPACITY_ON_STACK = 256;
#else
static constexpr index_t MAX_CAPACITY_ON_STACK = 1024;
#endif
index_t length_;
index_t capacity_;
double x_[2]; // x_ is in fact of size [capacity_]
friend class expansion_nt;
};
// =============== arithmetic operations ===========================
#define expansion_create(a) \
new_expansion_on_stack(1)->assign(a)
#define expansion_abs(e) \
new_expansion_on_stack(e.length())->assign_abs(e)
#define expansion_sum(a, b) \
new_expansion_on_stack( \
expansion::sum_capacity(a, b) \
)->assign_sum(a, b)
#define expansion_sum3(a, b, c) \
new_expansion_on_stack( \
expansion::sum_capacity(a, b, c) \
)->assign_sum(a, b, c)
#define expansion_sum4(a, b, c, d) \
new_expansion_on_stack( \
expansion::sum_capacity(a, b, c, d) \
)->assign_sum(a, b, c, d)
#define expansion_diff(a, b) \
new_expansion_on_stack( \
expansion::diff_capacity(a, b) \
)->assign_diff(a, b)
#define expansion_product(a, b) \
new_expansion_on_stack( \
expansion::product_capacity(a, b) \
)->assign_product(a, b)
#define expansion_product3(a, b, c) \
new_expansion_on_stack( \
expansion::product_capacity(a, b, c) \
)->assign_product(a, b, c)
#define expansion_square(a) \
new_expansion_on_stack( \
expansion::square_capacity(a) \
)->assign_square(a)
// =============== determinants =====================================
#define expansion_det2x2(a11, a12, a21, a22) \
new_expansion_on_stack( \
expansion::det2x2_capacity(a11, a12, a21, a22) \
)->assign_det2x2(a11, a12, a21, a22)
#define expansion_det3x3(a11, a12, a13, a21, a22, a23, a31, a32, a33) \
new_expansion_on_stack( \
expansion::det3x3_capacity(a11,a12,a13,a21,a22,a23,a31,a32,a33) \
)->assign_det3x3(a11, a12, a13, a21, a22, a23, a31, a32, a33)
#define expansion_det_111_2x3(a21, a22, a23, a31, a32, a33) \
new_expansion_on_stack( \
expansion::det_111_2x3_capacity(a21, a22, a23, a31, a32, a33) \
)->assign_det_111_2x3(a21, a22, a23, a31, a32, a33)
// =============== geometric functions ==============================
#define expansion_sq_dist(a, b, dim) \
new_expansion_on_stack( \
expansion::sq_dist_capacity(dim) \
)->assign_sq_dist(a, b, dim)
#define expansion_dot_at(a, b, c, dim) \
new_expansion_on_stack( \
expansion::dot_at_capacity(dim) \
)->assign_dot_at(a, b, c, dim)
#define expansion_length2(x,y,z) \
new_expansion_on_stack( \
expansion::length2_capacity(x,y,z) \
)->assign_length2(x,y,z)
Sign GEOGRAM_API sign_of_expansion_determinant(
const expansion& a00,const expansion& a01,
const expansion& a10,const expansion& a11
);
Sign GEOGRAM_API sign_of_expansion_determinant(
const expansion& a00,const expansion& a01,const expansion& a02,
const expansion& a10,const expansion& a11,const expansion& a12,
const expansion& a20,const expansion& a21,const expansion& a22
);
Sign GEOGRAM_API sign_of_expansion_determinant(
const expansion& a00,const expansion& a01,
const expansion& a02,const expansion& a03,
const expansion& a10,const expansion& a11,
const expansion& a12,const expansion& a13,
const expansion& a20,const expansion& a21,
const expansion& a22,const expansion& a23,
const expansion& a30,const expansion& a31,
const expansion& a32,const expansion& a33
);
void GEOGRAM_API grow_expansion_zeroelim(
const expansion& e, double b, expansion& h
);
void GEOGRAM_API scale_expansion_zeroelim(
const expansion& e, double b, expansion& h
);
void GEOGRAM_API fast_expansion_sum_zeroelim(
const expansion& e, const expansion& f, expansion& h
);
void GEOGRAM_API fast_expansion_diff_zeroelim(
const expansion& e, const expansion& f, expansion& h
);
}
#endif
/******* extracted from multi_precision.cpp *******/
// This makes sure the compiler will not optimize y = a*x+b
// with fused multiply-add, this would break the exact
// predicates.
#ifdef GEO_COMPILER_MSVC
#pragma fp_contract(off)
#endif
namespace {
using namespace GEO;
#ifdef PCK_STATS
std::vector<index_t> expansion_length_histo_;
#endif
class Pools {
public:
Pools() : pools_(1024,nullptr) {
chunks_.reserve(1024);
}
~Pools() {
for(index_t i=0; i<chunks_.size(); ++i) {
delete[] chunks_[i];
}
}
void* malloc(size_t size) {
if(size >= pools_.size()) {
return ::malloc(size);
}
if(pools_[size] == nullptr) {
new_chunk(size);
}
Memory::pointer result = pools_[size];
pools_[size] = next(pools_[size]);
return result;
}
void free(void* ptr, size_t size) {
if(size >= pools_.size()) {
::free(ptr);
return;
}
set_next(Memory::pointer(ptr), pools_[size]);
pools_[size] = Memory::pointer(ptr);
}
protected:
static const index_t NB_ITEMS_PER_CHUNK = 512;
void new_chunk(size_t item_size) {
// Allocate chunk
Memory::pointer chunk =
new Memory::byte[item_size * NB_ITEMS_PER_CHUNK];
// Chain items in chunk
for(index_t i=0; i<NB_ITEMS_PER_CHUNK-1; ++i) {
Memory::pointer cur_item = item(chunk, item_size, i);
Memory::pointer next_item = item(chunk, item_size, i+1);
set_next(cur_item, next_item);
}
// Last item's next is pool's first
set_next(
item(chunk, item_size,NB_ITEMS_PER_CHUNK-1),
pools_[item_size]
);
// Set pool's first to first in chunk
pools_[item_size] = chunk;
chunks_.push_back(chunk);
}
private:
Memory::pointer next(Memory::pointer item) const {
return *reinterpret_cast<Memory::pointer*>(item);
}
void set_next(
Memory::pointer item, Memory::pointer next
) const {
*reinterpret_cast<Memory::pointer*>(item) = next;
}
Memory::pointer item(
Memory::pointer chunk, size_t item_size, index_t index
) const {
geo_debug_assert(index < NB_ITEMS_PER_CHUNK);
return chunk + (item_size * size_t(index));
}
std::vector<Memory::pointer> pools_;
std::vector<Memory::pointer> chunks_;
};
static Pools pools_;
inline void fast_two_sum(double a, double b, double& x, double& y) {
x = a + b;
double bvirt = x - a;
y = b - bvirt;
}
#ifdef REMOVE_ME
inline void fast_two_diff(double a, double b, double& x, double& y) {
x = a - b;
double bvirt = a - x;
y = bvirt - b;
}
#endif
inline void two_one_sum(
double a1, double a0, double b, double& x2, double& x1, double& x0
) {
double _i;
two_sum(a0, b, _i, x0);
two_sum(a1, _i, x2, x1);
}
inline void two_two_sum(
double a1, double a0, double b1, double b0,
double& x3, double& x2, double& x1, double& x0
) {
double _j, _0;
two_one_sum(a1, a0, b0, _j, _0, x0);
two_one_sum(_j, _0, b1, x3, x2, x1);
}
inline void two_product_presplit(
double a, double b, double bhi, double blo, double& x, double& y
) {
x = a * b;
double ahi;
double alo;
split(a, ahi, alo);
double err1 = x - (ahi * bhi);
double err2 = err1 - (alo * bhi);
double err3 = err2 - (ahi * blo);
y = (alo * blo) - err3;
}
inline void two_product_2presplit(
double a, double ahi, double alo,
double b, double bhi, double blo,
double& x, double& y
) {
x = a * b;
double err1 = x - (ahi * bhi);
double err2 = err1 - (alo * bhi);
double err3 = err2 - (ahi * blo);
y = (alo * blo) - err3;
}
inline void two_square(
double a1, double a0,
double* x
) {
double _0, _1, _2;
double _j, _k, _l;
square(a0, _j, x[0]);
_0 = a0 + a0;
two_product(a1, _0, _k, _1);
two_one_sum(_k, _1, _j, _l, _2, x[1]);
square(a1, _j, _1);
two_two_sum(_j, _1, _l, _2, x[5], x[4], x[3], x[2]);
}
void two_two_product(
const double* a,
const double* b,
double* x
) {
double _0, _1, _2;
double _i, _j, _k, _l, _m, _n;
// If the target processor supports the FMA (Fused Multiply Add)
// instruction, then the product of two doubles into a length-2
// expansion can be implemented as follows. Thanks to Marc Glisse
// for the information.
// Note: under gcc, automatic generations of fma() for a*b+c needs
// to be deactivated, using -ffp-contract=off, else it may break
// other functions such as fast_expansion_sum_zeroelim().
#ifdef FP_FAST_FMA
two_product(a[0],b[0],_i,x[0]);
two_product(a[1],b[0],_j,_0);
two_sum(_i, _0, _k, _1);
fast_two_sum(_j, _k, _l, _2);
two_product(a[0], b[1], _i, _0);
two_sum(_1, _0, _k, x[1]);
two_sum(_2, _k, _j, _1);
two_sum(_l, _j, _m, _2);
two_product(a[1], b[1], _j, _0);
two_sum(_i, _0, _n, _0);
two_sum(_1, _0, _i, x[2]);
two_sum(_2, _i, _k, _1);
two_sum(_m, _k, _l, _2);
two_sum(_j, _n, _k, _0);
two_sum(_1, _0, _j, x[3]);
two_sum(_2, _j, _i, _1);
two_sum(_l, _i, _m, _2);
two_sum(_1, _k, _i, x[4]);
two_sum(_2, _i, _k, x[5]);
two_sum(_m, _k, x[7], x[6]);
#else
double a0hi, a0lo;
split(a[0], a0hi, a0lo);
double bhi, blo;
split(b[0], bhi, blo);
two_product_2presplit(
a[0], a0hi, a0lo, b[0], bhi, blo, _i, x[0]
);
double a1hi, a1lo;
split(a[1], a1hi, a1lo);
two_product_2presplit(
a[1], a1hi, a1lo, b[0], bhi, blo, _j, _0
);
two_sum(_i, _0, _k, _1);
fast_two_sum(_j, _k, _l, _2);
split(b[1], bhi, blo);
two_product_2presplit(
a[0], a0hi, a0lo, b[1], bhi, blo, _i, _0
);
two_sum(_1, _0, _k, x[1]);
two_sum(_2, _k, _j, _1);
two_sum(_l, _j, _m, _2);
two_product_2presplit(
a[1], a1hi, a1lo, b[1], bhi, blo, _j, _0
);
two_sum(_i, _0, _n, _0);
two_sum(_1, _0, _i, x[2]);
two_sum(_2, _i, _k, _1);
two_sum(_m, _k, _l, _2);
two_sum(_j, _n, _k, _0);
two_sum(_1, _0, _j, x[3]);
two_sum(_2, _j, _i, _1);
two_sum(_l, _i, _m, _2);
two_sum(_1, _k, _i, x[4]);
two_sum(_2, _i, _k, x[5]);
two_sum(_m, _k, x[7], x[6]);
#endif
}
// [Shewchuk 97]
// (https://people.eecs.berkeley.edu/~jrs/papers/robustr.pdf)
// Section 2.8: other operations
// Compression
// Note: when converting the algorithms in Shewchuk's article
// into code, indices in the article go from 1 to m, and in the
// code they go from 0 to m-1 !!!
// /!\ there is a bug in the original article,
// line 14 of the algorigthm should be h_top <= q (small q and not capital Q)
void compress_expansion(expansion& e) {
expansion& h = e;
index_t m = e.length();
double Qnew,q;
index_t bottom = m-1;
double Q = e[bottom];
for(int i=int(m)-2; i>=0; --i) {
fast_two_sum(Q, e[index_t(i)], Qnew, q);
Q = Qnew;
if(q != 0.0) {
h[bottom] = Q;
--bottom;
Q = q;
}
}
h[bottom] = Q;
index_t top = 0;
for(index_t i=bottom+1; i<m; ++i) {
fast_two_sum(h[i],Q,Qnew,q);
Q = Qnew;
if(q != 0) {
h[top] = q;
++top;
}
}
h[top] = Q;
h.set_length(top+1);
}
}
namespace GEO {
void grow_expansion_zeroelim(
const expansion& e, double b, expansion& h
) {
double Q, hh;
double Qnew;
index_t eindex, hindex;
index_t elen = e.length();
hindex = 0;
Q = b;
for(eindex = 0; eindex < elen; eindex++) {
double enow = e[eindex];
two_sum(Q, enow, Qnew, hh);
Q = Qnew;
if(hh != 0.0) {
h[hindex++] = hh;
}
}
if((Q != 0.0) || (hindex == 0)) {
h[hindex++] = Q;
}
h.set_length(hindex);
}
void scale_expansion_zeroelim(
const expansion& e, double b, expansion& h
) {
double Q, sum;
double hh;
double product1;
double product0;
index_t eindex, hindex;
// If the target processor supports the FMA (Fused Multiply Add)
// instruction, then the product of two doubles into a length-2
// expansion can be implemented as follows. Thanks to Marc Glisse
// for the information.
// Note: under gcc, automatic generations of fma() for a*b+c needs
// to be deactivated, using -ffp-contract=off, else it may break
// other functions such as fast_expansion_sum_zeroelim().
#ifndef FP_FAST_FMA
double bhi, blo;
#endif
index_t elen = e.length();
// Sanity check: e and h cannot be the same.
geo_debug_assert(&e != &h);
#ifdef FP_FAST_FMA
two_product(e[0], b, Q, hh);
#else
split(b, bhi, blo);
two_product_presplit(e[0], b, bhi, blo, Q, hh);
#endif
hindex = 0;
if(hh != 0) {
h[hindex++] = hh;
}
for(eindex = 1; eindex < elen; eindex++) {
double enow = e[eindex];
#ifdef FP_FAST_FMA
two_product(enow, b, product1, product0);
#else
two_product_presplit(enow, b, bhi, blo, product1, product0);
#endif
two_sum(Q, product0, sum, hh);
if(hh != 0) {
h[hindex++] = hh;
}
fast_two_sum(product1, sum, Q, hh);
if(hh != 0) {
h[hindex++] = hh;
}
}
if((Q != 0.0) || (hindex == 0)) {
h[hindex++] = Q;
}
h.set_length(hindex);
}
void fast_expansion_sum_zeroelim(
const expansion& e, const expansion& f, expansion& h
) {
double Q;
double Qnew;
double hh;
index_t eindex, findex, hindex;
double enow, fnow;
index_t elen = e.length();
index_t flen = f.length();
// sanity check: h cannot be e or f
geo_debug_assert(&h != &e);
geo_debug_assert(&h != &f);
enow = e[0];
fnow = f[0];
eindex = findex = 0;
if((fnow > enow) == (fnow > -enow)) {
Q = enow;
enow = e[++eindex];
} else {
Q = fnow;
fnow = f[++findex];
}
hindex = 0;
if((eindex < elen) && (findex < flen)) {
if((fnow > enow) == (fnow > -enow)) {
fast_two_sum(enow, Q, Qnew, hh);
enow = e[++eindex];
} else {
fast_two_sum(fnow, Q, Qnew, hh);
fnow = f[++findex];
}
Q = Qnew;
if(hh != 0.0) {
h[hindex++] = hh;
}
while((eindex < elen) && (findex < flen)) {
if((fnow > enow) == (fnow > -enow)) {
two_sum(Q, enow, Qnew, hh);
enow = e[++eindex];
} else {
two_sum(Q, fnow, Qnew, hh);
fnow = f[++findex];
}
Q = Qnew;
if(hh != 0.0) {
h[hindex++] = hh;
}
}
}
while(eindex < elen) {
two_sum(Q, enow, Qnew, hh);
enow = e[++eindex];
Q = Qnew;
if(hh != 0.0) {
h[hindex++] = hh;
}
}
while(findex < flen) {
two_sum(Q, fnow, Qnew, hh);
fnow = f[++findex];
Q = Qnew;
if(hh != 0.0) {
h[hindex++] = hh;
}
}
if((Q != 0.0) || (hindex == 0)) {
h[hindex++] = Q;
}
h.set_length(hindex);
}
void fast_expansion_diff_zeroelim(
const expansion& e, const expansion& f, expansion& h
) {
double Q;
double Qnew;
double hh;
index_t eindex, findex, hindex;
double enow, fnow;
index_t elen = e.length();
index_t flen = f.length();
// sanity check: h cannot be e or f
geo_debug_assert(&h != &e);
geo_debug_assert(&h != &f);
enow = e[0];
fnow = -f[0];
eindex = findex = 0;
if((fnow > enow) == (fnow > -enow)) {
Q = enow;
enow = e[++eindex];
} else {
Q = fnow;
fnow = -f[++findex];
}
hindex = 0;
if((eindex < elen) && (findex < flen)) {
if((fnow > enow) == (fnow > -enow)) {
fast_two_sum(enow, Q, Qnew, hh);
enow = e[++eindex];
} else {
fast_two_sum(fnow, Q, Qnew, hh);
fnow = -f[++findex];
}
Q = Qnew;
if(hh != 0.0) {
h[hindex++] = hh;
}
while((eindex < elen) && (findex < flen)) {
if((fnow > enow) == (fnow > -enow)) {
two_sum(Q, enow, Qnew, hh);
enow = e[++eindex];
} else {
two_sum(Q, fnow, Qnew, hh);
fnow = -f[++findex];
}
Q = Qnew;
if(hh != 0.0) {
h[hindex++] = hh;
}
}
}
while(eindex < elen) {
two_sum(Q, enow, Qnew, hh);
enow = e[++eindex];
Q = Qnew;
if(hh != 0.0) {
h[hindex++] = hh;
}
}
while(findex < flen) {
two_sum(Q, fnow, Qnew, hh);
fnow = -f[++findex];
Q = Qnew;
if(hh != 0.0) {
h[hindex++] = hh;
}
}
if((Q != 0.0) || (hindex == 0)) {
h[hindex++] = Q;
}
h.set_length(hindex);
}
}
namespace GEO {
double expansion_splitter_;
double expansion_epsilon_;
void expansion::initialize() {
// Taken from Jonathan Shewchuk's exactinit.
double half;
double check, lastcheck;
int every_other;
every_other = 1;
half = 0.5;
expansion_epsilon_ = 1.0;
expansion_splitter_ = 1.0;
check = 1.0;
// Repeatedly divide `epsilon' by two until it is too small to add to
// one without causing roundoff. (Also check if the sum is equal to
// the previous sum, for machines that round up instead of using exact
// rounding. Not that this library will work on such machines anyway.
do {
lastcheck = check;
expansion_epsilon_ *= half;
if(every_other) {
expansion_splitter_ *= 2.0;
}
every_other = !every_other;
check = 1.0 + expansion_epsilon_;
} while((check != 1.0) && (check != lastcheck));
expansion_splitter_ += 1.0;
}
static Process::spinlock expansions_lock = GEOGRAM_SPINLOCK_INIT;
expansion* expansion::new_expansion_on_heap(index_t capa) {
Process::acquire_spinlock(expansions_lock);
#ifdef PCK_STATS
if(capa >= expansion_length_histo_.size()) {
expansion_length_histo_.resize(capa + 1);
}
expansion_length_histo_[capa]++;
#endif
Memory::pointer addr = Memory::pointer(
pools_.malloc(expansion::bytes(capa))
);
Process::release_spinlock(expansions_lock);
expansion* result = new(addr)expansion(capa);
return result;
}
void expansion::delete_expansion_on_heap(expansion* e) {
Process::acquire_spinlock(expansions_lock);
pools_.free(e, expansion::bytes(e->capacity()));
Process::release_spinlock(expansions_lock);
}
// ====== Initialization from expansion and double ===============
expansion& expansion::assign_sum(const expansion& a, double b) {
geo_debug_assert(capacity() >= sum_capacity(a, b));
grow_expansion_zeroelim(a, b, *this);
return *this;
}
expansion& expansion::assign_diff(const expansion& a, double b) {
geo_debug_assert(capacity() >= diff_capacity(a, b));
grow_expansion_zeroelim(a, -b, *this);
return *this;
}
expansion& expansion::assign_product(const expansion& a, double b) {
// TODO: implement special case where the double argument
// is a power of two.
geo_debug_assert(capacity() >= product_capacity(a, b));
scale_expansion_zeroelim(a, b, *this);
return *this;
}
// ============= expansion sum and difference =========================
expansion& expansion::assign_sum(
const expansion& a, const expansion& b
) {
geo_debug_assert(capacity() >= sum_capacity(a, b));
fast_expansion_sum_zeroelim(a, b, *this);
return *this;
}
expansion& expansion::assign_sum(
const expansion& a, const expansion& b, const expansion& c
) {
geo_debug_assert(capacity() >= sum_capacity(a, b, c));
expansion& ab = expansion_sum(a, b);
this->assign_sum(ab, c);
return *this;
}
expansion& expansion::assign_sum(
const expansion& a, const expansion& b,
const expansion& c, const expansion& d
) {
geo_debug_assert(capacity() >= sum_capacity(a, b, c));
expansion& ab = expansion_sum(a, b);
expansion& cd = expansion_sum(c, d);
this->assign_sum(ab, cd);
return *this;
}
expansion& expansion::assign_diff(const expansion& a, const expansion& b) {
geo_debug_assert(capacity() >= diff_capacity(a, b));
fast_expansion_diff_zeroelim(a, b, *this);
return *this;
}
// ============= expansion product ==================================
// Recursive helper function for product implementation
expansion& expansion::assign_sub_product(
const double* a, index_t a_length, const expansion& b
) {
geo_debug_assert(
capacity() >= sub_product_capacity(a_length, b.length())
);
if(a_length == 1) {
scale_expansion_zeroelim(b, a[0], *this);
} else {
// "Distillation" (see Shewchuk's paper) is computed recursively,
// by splitting the list of expansions to sum into two halves.
const double* a1 = a;
index_t a1_length = a_length / 2;
const double* a2 = a1 + a1_length;
index_t a2_length = a_length - a1_length;
// Allocate both halves on the stack or on the heap if too large
// (some platformes, e.g. MacOSX, have a small stack)
index_t a1b_capa = sub_product_capacity(a1_length, b.length());
index_t a2b_capa = sub_product_capacity(a2_length, b.length());
bool a1b_on_heap = (a1b_capa > MAX_CAPACITY_ON_STACK);
bool a2b_on_heap = (a2b_capa > MAX_CAPACITY_ON_STACK);
expansion* a1b = a1b_on_heap ?
new_expansion_on_heap(a1b_capa) :
new_expansion_on_stack(a1b_capa);
a1b->assign_sub_product(a1, a1_length, b);
expansion* a2b = a2b_on_heap ?
new_expansion_on_heap(a2b_capa) :
new_expansion_on_stack(a2b_capa);
a2b->assign_sub_product(a2, a2_length, b);
this->assign_sum(*a1b, *a2b);
if(a1b_on_heap) {
delete_expansion_on_heap(a1b);
}
if(a2b_on_heap) {
delete_expansion_on_heap(a2b);
}
}
return *this;
}
expansion& expansion::assign_product(
const expansion& a, const expansion& b
) {
geo_debug_assert(capacity() >= product_capacity(a, b));
if(a.length() == 0 || b.length() == 0) {
x_[0] = 0.0;
set_length(0);
} else if(a.length() == 1 && b.length() == 1) {
two_product(a[0], b[0], x_[1], x_[0]);
set_length(2);
} else if(a.length() == 1) {
scale_expansion_zeroelim(b, a[0], *this);
} else if(b.length() == 1) {
scale_expansion_zeroelim(a, b[0], *this);
} else if(a.length() == 2 && b.length() == 2) {
two_two_product(a.data(), b.data(), x_);
set_length(8);
} else {
const expansion* pa = &a;
const expansion* pb = &b;
if(pa->length() > pb->length()) {
std::swap(pa, pb);
}
// [Shewchuk 97]
// (https://people.eecs.berkeley.edu/~jrs/papers/robustr.pdf)
// Section 2.8: other operations
// Distillation: sum of k values.
// Worst case: 1/2*k*(k-1)
// But O(k log(k)) if the "summing tree" is well balanced
// and using fast_expansion_sum().
// Recommended way of computing a product:
// compute a1*b, a2*b ... ak*b using scale_expansion_zeroelim()
// sum them using a well-balanced tree
// However, there is an extra cost for the recursion (and more
// importantly, for allocating the intermediary sums, especially
// when they do not fit on the stack). So when there are less than
// 16 values to add, we simply accumulate them.
bool use_balanced_distillation = (pa->length() >= 16);
if(use_balanced_distillation) {
// assign_sub_product() is a recursive function that
// creates a balanced distillation tree on the stack.
assign_sub_product(pa->data(), pa->length(),*pb);
} else {
// trivial implementation: compute all the products
// P = ak*b and accumulate them into S
index_t P_capa = product_capacity(*pb, 3.0); // 3.0, or any
// number that is
// not a power of 2
index_t S_capa = capacity(); // same capacity as this,
// enough to store sum.
bool P_on_heap = (P_capa > MAX_CAPACITY_ON_STACK);
bool S_on_heap = (S_capa > MAX_CAPACITY_ON_STACK);
expansion* P = P_on_heap ?
new_expansion_on_heap(P_capa) :
new_expansion_on_stack(P_capa);
expansion* S = S_on_heap ?
new_expansion_on_heap(S_capa) :
new_expansion_on_stack(S_capa);
expansion* S1 = S;
expansion* S2 = this;
if((pa->length()%2) == 0) {
std::swap(S1,S2);
}
for(index_t i=0; i<pa->length(); ++i) {
if(i == 0) {
S2->assign_product(*pb, (*pa)[i]);
} else {
P->assign_product(*pb, (*pa)[i]);
S2->assign_sum(*S1,*P);
}
std::swap(S1,S2);
}
geo_assert(S1 == this);
if(S_on_heap) {
delete_expansion_on_heap(S);
}
if(P_on_heap) {
delete_expansion_on_heap(P);
}
}
}
return *this;
}
expansion& expansion::assign_product(
const expansion& a, const expansion& b, const expansion& c
) {
const expansion& bc = expansion_product(b, c);
this->assign_product(a, bc);
return *this;
}
expansion& expansion::assign_square(const expansion& a) {
geo_debug_assert(capacity() >= square_capacity(a));
if(a.length() == 1) {
square(a[0], x_[1], x_[0]);
set_length(2);
} else if(a.length() == 2) {
two_square(a[1], a[0], x_);
set_length(6);
} else {
this->assign_product(a, a);
}
return *this;
}
// ============= determinants ==========================================
expansion& expansion::assign_det2x2(
const expansion& a11, const expansion& a12,
const expansion& a21, const expansion& a22
) {
const expansion& a11a22 = expansion_product(a11, a22);
const expansion& a12a21 = expansion_product(a12, a21);
return this->assign_diff(a11a22, a12a21);
}
expansion& expansion::assign_det3x3(
const expansion& a11, const expansion& a12, const expansion& a13,
const expansion& a21, const expansion& a22, const expansion& a23,
const expansion& a31, const expansion& a32, const expansion& a33
) {
// Development w.r.t. first row
const expansion& c11 = expansion_det2x2(a22, a23, a32, a33);
const expansion& c12 = expansion_det2x2(a23, a21, a33, a31);
const expansion& c13 = expansion_det2x2(a21, a22, a31, a32);
const expansion& a11c11 = expansion_product(a11, c11);
const expansion& a12c12 = expansion_product(a12, c12);
const expansion& a13c13 = expansion_product(a13, c13);
return this->assign_sum(a11c11, a12c12, a13c13);
}
expansion& expansion::assign_det_111_2x3(
const expansion& a21, const expansion& a22, const expansion& a23,
const expansion& a31, const expansion& a32, const expansion& a33
) {
const expansion& c11 = expansion_det2x2(a22, a23, a32, a33);
const expansion& c12 = expansion_det2x2(a23, a21, a33, a31);
const expansion& c13 = expansion_det2x2(a21, a22, a31, a32);
return this->assign_sum(c11, c12, c13);
}
// ============= geometric operations ==================================
expansion& expansion::assign_sq_dist(
const double* p1, const double* p2, coord_index_t dim
) {
geo_debug_assert(capacity() >= sq_dist_capacity(dim));
geo_debug_assert(dim > 0);
if(dim == 1) {
double d0, d1;
two_diff(p1[0], p2[0], d1, d0);
two_square(d1, d0, x_);
set_length(6);
} else {
// "Distillation" (see Shewchuk's paper) is computed recursively,
// by splitting the list of expansions to sum into two halves.
coord_index_t dim1 = dim / 2;
coord_index_t dim2 = coord_index_t(dim - dim1);
const double* p1_2 = p1 + dim1;
const double* p2_2 = p2 + dim1;
expansion& d1 = expansion_sq_dist(p1, p2, dim1);
expansion& d2 = expansion_sq_dist(p1_2, p2_2, dim2);
this->assign_sum(d1, d2);
}
return *this;
}
expansion& expansion::assign_dot_at(
const double* p1, const double* p2, const double* p0,
coord_index_t dim
) {
geo_debug_assert(capacity() >= dot_at_capacity(dim));
if(dim == 1) {
double v[2];
two_diff(p1[0], p0[0], v[1], v[0]);
double w[2];
two_diff(p2[0], p0[0], w[1], w[0]);
two_two_product(v, w, x_);
set_length(8);
} else {
// "Distillation" (see Shewchuk's paper) is computed recursively,
// by splitting the list of expansions to sum into two halves.
coord_index_t dim1 = dim / 2;
coord_index_t dim2 = coord_index_t(dim - dim1);
const double* p1_2 = p1 + dim1;
const double* p2_2 = p2 + dim1;
const double* p0_2 = p0 + dim1;
expansion& d1 = expansion_dot_at(p1, p2, p0, dim1);
expansion& d2 = expansion_dot_at(p1_2, p2_2, p0_2, dim2);
this->assign_sum(d1, d2);
}
return *this;
}
expansion& expansion::assign_length2(
const expansion& x, const expansion& y, const expansion& z
) {
const expansion& x2 = expansion_square(x);
const expansion& y2 = expansion_square(y);
const expansion& z2 = expansion_square(z);
this->assign_sum(x2,y2,z2);
return *this;
}
bool expansion::is_same_as(const expansion& rhs) const {
if(length() != rhs.length()) {
return false;
}
for(index_t i=0; i<length(); ++i) {
if(x_[i] != rhs.x_[i]) {
return false;
}
}
return true;
}
bool expansion::is_same_as(double rhs) const {
if(length() != 1) {
return false;
}
return (x_[0] == rhs);
}
Sign expansion::compare(const expansion& rhs) const {
// Fast path: different signs or both zero
Sign s1 = sign();
Sign s2 = rhs.sign();
if(s1 == ZERO && s2 == ZERO) {
return ZERO;
}
if(s1 != s2) {
return (int(s1) > int(s2) ? POSITIVE : NEGATIVE);
}
// Fast path: same internal representation
if(is_same_as(rhs)) {
return ZERO;
}
// Compute difference and return sign of difference
index_t capa = diff_capacity(*this, rhs);
if(capa > MAX_CAPACITY_ON_STACK) {
expansion* d = new_expansion_on_heap(capa);
d->assign_diff(*this, rhs);
Sign result = d->sign();
delete_expansion_on_heap(d);
return result;
}
const expansion& d = expansion_diff(*this, rhs);
return d.sign();
}
Sign expansion::compare(double rhs) const {
// Fast path: different signs or both zero
Sign s1 = sign();
Sign s2 = geo_sgn(rhs);
if(s1 == ZERO && s2 == ZERO) {
return ZERO;
}
if(s1 != s2) {
return (int(s1) > int(s2) ? POSITIVE : NEGATIVE);
}
// Fast path: same internal representation
if(is_same_as(rhs)) {
return ZERO;
}
// Compute difference and return sign of difference
index_t capa = diff_capacity(*this, rhs);
if(capa > MAX_CAPACITY_ON_STACK) {
expansion* d = new_expansion_on_heap(capa);
d->assign_diff(*this, rhs);
Sign result = d->sign();
delete_expansion_on_heap(d);
return result;
}
const expansion& d = expansion_diff(*this, rhs);
return d.sign();
}
void expansion::show_all_stats() {
#ifdef PCK_STATS
Logger::out("expansion") << "Stats" << std::endl;
for(index_t i = 0; i < expansion_length_histo_.size(); ++i) {
if(expansion_length_histo_[i] != 0) {
Logger::out("expansion")
<< "len " << i
<< " : " << expansion_length_histo_[i] << std::endl;
}
}
#endif
}
Sign sign_of_expansion_determinant(
const expansion& a00,const expansion& a01,
const expansion& a10,const expansion& a11
) {
const expansion& result = expansion_det2x2(a00, a01, a10, a11);
return result.sign();
}
Sign sign_of_expansion_determinant(
const expansion& a00,const expansion& a01,const expansion& a02,
const expansion& a10,const expansion& a11,const expansion& a12,
const expansion& a20,const expansion& a21,const expansion& a22
) {
// First compute the det2x2
const expansion& m01 =
expansion_det2x2(a00, a10, a01, a11);
const expansion& m02 =
expansion_det2x2(a00, a20, a01, a21);
const expansion& m12 =
expansion_det2x2(a10, a20, a11, a21);
// Now compute the minors of rank 3
const expansion& z1 = expansion_product(m01,a22);
const expansion& z2 = expansion_product(m02,a12).negate();
const expansion& z3 = expansion_product(m12,a02);
const expansion& result = expansion_sum3(z1,z2,z3);
return result.sign();
}
Sign sign_of_expansion_determinant(
const expansion& a00,const expansion& a01,
const expansion& a02,const expansion& a03,
const expansion& a10,const expansion& a11,
const expansion& a12,const expansion& a13,
const expansion& a20,const expansion& a21,
const expansion& a22,const expansion& a23,
const expansion& a30,const expansion& a31,
const expansion& a32,const expansion& a33
) {
// First compute the det2x2
const expansion& m01 =
expansion_det2x2(a10,a00,a11,a01);
const expansion& m02 =
expansion_det2x2(a20,a00,a21,a01);
const expansion& m03 =
expansion_det2x2(a30,a00,a31,a01);
const expansion& m12 =
expansion_det2x2(a20,a10,a21,a11);
const expansion& m13 =
expansion_det2x2(a30,a10,a31,a11);
const expansion& m23 =
expansion_det2x2(a30,a20,a31,a21);
// Now compute the minors of rank 3
const expansion& m012_1 = expansion_product(m12,a02);
expansion& m012_2 = expansion_product(m02,a12); m012_2.negate();
const expansion& m012_3 = expansion_product(m01,a22);
const expansion& m012 = expansion_sum3(m012_1, m012_2, m012_3);
const expansion& m013_1 = expansion_product(m13,a02);
expansion& m013_2 = expansion_product(m03,a12); m013_2.negate();
const expansion& m013_3 = expansion_product(m01,a32);
const expansion& m013 = expansion_sum3(m013_1, m013_2, m013_3);
const expansion& m023_1 = expansion_product(m23,a02);
expansion& m023_2 = expansion_product(m03,a22); m023_2.negate();
const expansion& m023_3 = expansion_product(m02,a32);
const expansion& m023 = expansion_sum3(m023_1, m023_2, m023_3);
const expansion& m123_1 = expansion_product(m23,a12);
expansion& m123_2 = expansion_product(m13,a22); m123_2.negate();
const expansion& m123_3 = expansion_product(m12,a32);
const expansion& m123 = expansion_sum3(m123_1, m123_2, m123_3);
// Now compute the minors of rank 4
const expansion& m0123_1 = expansion_product(m123,a03);
const expansion& m0123_2 = expansion_product(m023,a13);
const expansion& m0123_3 = expansion_product(m013,a23);
const expansion& m0123_4 = expansion_product(m012,a33);
const expansion& z1 = expansion_sum(m0123_1, m0123_3);
const expansion& z2 = expansion_sum(m0123_2, m0123_4);
const expansion& result = expansion_diff(z1,z2);
return result.sign();
}
void expansion::optimize() {
compress_expansion(*this);
}
}
/******* extracted from predicates/side1.h *******/
inline int side1_3d_filter( const double* p0, const double* p1, const double* q0) {
double p0_0_p1_0 = (p0[0] - p1[0]);
double p0_1_p1_1 = (p0[1] - p1[1]);
double p0_2_p1_2 = (p0[2] - p1[2]);
double r;
r = (1 * (((p0_0_p1_0 * p0_0_p1_0) + (p0_1_p1_1 * p0_1_p1_1)) + (p0_2_p1_2 * p0_2_p1_2)));
double p1_0_p0_0 = (p1[0] - p0[0]);
double q0_0_p0_0 = (q0[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double q0_2_p0_2 = (q0[2] - p0[2]);
r = (r - (2 * (((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2))));
int int_tmp_result;
double eps;
double max1 = fabs(p0_0_p1_0);
if( (max1 < fabs(p0_1_p1_1)) )
{
max1 = fabs(p0_1_p1_1);
}
if( (max1 < fabs(p0_2_p1_2)) )
{
max1 = fabs(p0_2_p1_2);
}
if( (max1 < fabs(p1_0_p0_0)) )
{
max1 = fabs(p1_0_p0_0);
}
if( (max1 < fabs(p1_1_p0_1)) )
{
max1 = fabs(p1_1_p0_1);
}
if( (max1 < fabs(p1_2_p0_2)) )
{
max1 = fabs(p1_2_p0_2);
}
double max2 = fabs(p0_0_p1_0);
if( (max2 < fabs(p0_1_p1_1)) )
{
max2 = fabs(p0_1_p1_1);
}
if( (max2 < fabs(p0_2_p1_2)) )
{
max2 = fabs(p0_2_p1_2);
}
if( (max2 < fabs(q0_0_p0_0)) )
{
max2 = fabs(q0_0_p0_0);
}
if( (max2 < fabs(q0_1_p0_1)) )
{
max2 = fabs(q0_1_p0_1);
}
if( (max2 < fabs(q0_2_p0_2)) )
{
max2 = fabs(q0_2_p0_2);
}
double lower_bound_1;
double upper_bound_1;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (lower_bound_1 < 2.23755023300058943229e-147) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 5.59936185544450928309e+101) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (4.44425370757048798480e-15 * (max1 * max2));
if( (r > eps) )
{
int_tmp_result = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return int_tmp_result;
}
inline int side1_4d_filter( const double* p0, const double* p1, const double* q0) {
double p0_0_p1_0 = (p0[0] - p1[0]);
double p0_1_p1_1 = (p0[1] - p1[1]);
double p0_2_p1_2 = (p0[2] - p1[2]);
double p0_3_p1_3 = (p0[3] - p1[3]);
double r;
r = (1 * ((((p0_0_p1_0 * p0_0_p1_0) + (p0_1_p1_1 * p0_1_p1_1)) + (p0_2_p1_2 * p0_2_p1_2)) + (p0_3_p1_3 * p0_3_p1_3)));
double p1_0_p0_0 = (p1[0] - p0[0]);
double q0_0_p0_0 = (q0[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double p1_3_p0_3 = (p1[3] - p0[3]);
double q0_3_p0_3 = (q0[3] - p0[3]);
r = (r - (2 * ((((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)) + (p1_3_p0_3 * q0_3_p0_3))));
int int_tmp_result;
double eps;
double max1 = fabs(p1_0_p0_0);
if( (max1 < fabs(p0_0_p1_0)) )
{
max1 = fabs(p0_0_p1_0);
}
if( (max1 < fabs(p0_1_p1_1)) )
{
max1 = fabs(p0_1_p1_1);
}
if( (max1 < fabs(p0_2_p1_2)) )
{
max1 = fabs(p0_2_p1_2);
}
if( (max1 < fabs(p0_3_p1_3)) )
{
max1 = fabs(p0_3_p1_3);
}
if( (max1 < fabs(p1_1_p0_1)) )
{
max1 = fabs(p1_1_p0_1);
}
if( (max1 < fabs(p1_2_p0_2)) )
{
max1 = fabs(p1_2_p0_2);
}
if( (max1 < fabs(p1_3_p0_3)) )
{
max1 = fabs(p1_3_p0_3);
}
double max2 = fabs(p0_0_p1_0);
if( (max2 < fabs(p0_1_p1_1)) )
{
max2 = fabs(p0_1_p1_1);
}
if( (max2 < fabs(p0_2_p1_2)) )
{
max2 = fabs(p0_2_p1_2);
}
if( (max2 < fabs(p0_3_p1_3)) )
{
max2 = fabs(p0_3_p1_3);
}
if( (max2 < fabs(q0_0_p0_0)) )
{
max2 = fabs(q0_0_p0_0);
}
if( (max2 < fabs(q0_1_p0_1)) )
{
max2 = fabs(q0_1_p0_1);
}
if( (max2 < fabs(q0_2_p0_2)) )
{
max2 = fabs(q0_2_p0_2);
}
if( (max2 < fabs(q0_3_p0_3)) )
{
max2 = fabs(q0_3_p0_3);
}
double lower_bound_1;
double upper_bound_1;
lower_bound_1 = max2;
upper_bound_1 = max2;
if( (max1 < lower_bound_1) )
{
lower_bound_1 = max1;
}
else
{
if( (max1 > upper_bound_1) )
{
upper_bound_1 = max1;
}
}
if( (lower_bound_1 < 1.85816790703293534018e-147) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 5.59936185544450928309e+101) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (6.44428177279185717888e-15 * (max1 * max2));
if( (r > eps) )
{
int_tmp_result = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return int_tmp_result;
}
inline int side1_6d_filter( const double* p0, const double* p1, const double* q0) {
double p0_0_p1_0 = (p0[0] - p1[0]);
double p0_1_p1_1 = (p0[1] - p1[1]);
double p0_2_p1_2 = (p0[2] - p1[2]);
double p0_3_p1_3 = (p0[3] - p1[3]);
double p0_4_p1_4 = (p0[4] - p1[4]);
double p0_5_p1_5 = (p0[5] - p1[5]);
double r;
r = (1 * ((((((p0_0_p1_0 * p0_0_p1_0) + (p0_1_p1_1 * p0_1_p1_1)) + (p0_2_p1_2 * p0_2_p1_2)) + (p0_3_p1_3 * p0_3_p1_3)) + (p0_4_p1_4 * p0_4_p1_4)) + (p0_5_p1_5 * p0_5_p1_5)));
double p1_0_p0_0 = (p1[0] - p0[0]);
double q0_0_p0_0 = (q0[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double p1_3_p0_3 = (p1[3] - p0[3]);
double q0_3_p0_3 = (q0[3] - p0[3]);
double p1_4_p0_4 = (p1[4] - p0[4]);
double q0_4_p0_4 = (q0[4] - p0[4]);
double p1_5_p0_5 = (p1[5] - p0[5]);
double q0_5_p0_5 = (q0[5] - p0[5]);
r = (r - (2 * ((((((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)) + (p1_3_p0_3 * q0_3_p0_3)) + (p1_4_p0_4 * q0_4_p0_4)) + (p1_5_p0_5 * q0_5_p0_5))));
int int_tmp_result;
double eps;
double max1 = fabs(p0_0_p1_0);
if( (max1 < fabs(p0_1_p1_1)) )
{
max1 = fabs(p0_1_p1_1);
}
if( (max1 < fabs(p0_2_p1_2)) )
{
max1 = fabs(p0_2_p1_2);
}
if( (max1 < fabs(p0_3_p1_3)) )
{
max1 = fabs(p0_3_p1_3);
}
if( (max1 < fabs(p0_4_p1_4)) )
{
max1 = fabs(p0_4_p1_4);
}
if( (max1 < fabs(p0_5_p1_5)) )
{
max1 = fabs(p0_5_p1_5);
}
if( (max1 < fabs(p1_0_p0_0)) )
{
max1 = fabs(p1_0_p0_0);
}
if( (max1 < fabs(p1_1_p0_1)) )
{
max1 = fabs(p1_1_p0_1);
}
if( (max1 < fabs(p1_2_p0_2)) )
{
max1 = fabs(p1_2_p0_2);
}
if( (max1 < fabs(p1_3_p0_3)) )
{
max1 = fabs(p1_3_p0_3);
}
if( (max1 < fabs(p1_4_p0_4)) )
{
max1 = fabs(p1_4_p0_4);
}
if( (max1 < fabs(p1_5_p0_5)) )
{
max1 = fabs(p1_5_p0_5);
}
double max2 = fabs(p0_0_p1_0);
if( (max2 < fabs(p0_1_p1_1)) )
{
max2 = fabs(p0_1_p1_1);
}
if( (max2 < fabs(p0_2_p1_2)) )
{
max2 = fabs(p0_2_p1_2);
}
if( (max2 < fabs(p0_3_p1_3)) )
{
max2 = fabs(p0_3_p1_3);
}
if( (max2 < fabs(p0_4_p1_4)) )
{
max2 = fabs(p0_4_p1_4);
}
if( (max2 < fabs(p0_5_p1_5)) )
{
max2 = fabs(p0_5_p1_5);
}
if( (max2 < fabs(q0_0_p0_0)) )
{
max2 = fabs(q0_0_p0_0);
}
if( (max2 < fabs(q0_1_p0_1)) )
{
max2 = fabs(q0_1_p0_1);
}
if( (max2 < fabs(q0_2_p0_2)) )
{
max2 = fabs(q0_2_p0_2);
}
if( (max2 < fabs(q0_3_p0_3)) )
{
max2 = fabs(q0_3_p0_3);
}
if( (max2 < fabs(q0_4_p0_4)) )
{
max2 = fabs(q0_4_p0_4);
}
if( (max2 < fabs(q0_5_p0_5)) )
{
max2 = fabs(q0_5_p0_5);
}
double lower_bound_1;
double upper_bound_1;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (lower_bound_1 < 1.41511993781011659868e-147) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 5.59936185544450928309e+101) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (1.11111223981318615596e-14 * (max1 * max2));
if( (r > eps) )
{
int_tmp_result = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return int_tmp_result;
}
inline int side1_7d_filter( const double* p0, const double* p1, const double* q0) {
double p0_0_p1_0 = (p0[0] - p1[0]);
double p0_1_p1_1 = (p0[1] - p1[1]);
double p0_2_p1_2 = (p0[2] - p1[2]);
double p0_3_p1_3 = (p0[3] - p1[3]);
double p0_4_p1_4 = (p0[4] - p1[4]);
double p0_5_p1_5 = (p0[5] - p1[5]);
double p0_6_p1_6 = (p0[6] - p1[6]);
double r;
r = (1 * (((((((p0_0_p1_0 * p0_0_p1_0) + (p0_1_p1_1 * p0_1_p1_1)) + (p0_2_p1_2 * p0_2_p1_2)) + (p0_3_p1_3 * p0_3_p1_3)) + (p0_4_p1_4 * p0_4_p1_4)) + (p0_5_p1_5 * p0_5_p1_5)) + (p0_6_p1_6 * p0_6_p1_6)));
double p1_0_p0_0 = (p1[0] - p0[0]);
double q0_0_p0_0 = (q0[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double p1_3_p0_3 = (p1[3] - p0[3]);
double q0_3_p0_3 = (q0[3] - p0[3]);
double p1_4_p0_4 = (p1[4] - p0[4]);
double q0_4_p0_4 = (q0[4] - p0[4]);
double p1_5_p0_5 = (p1[5] - p0[5]);
double q0_5_p0_5 = (q0[5] - p0[5]);
double p1_6_p0_6 = (p1[6] - p0[6]);
double q0_6_p0_6 = (q0[6] - p0[6]);
r = (r - (2 * (((((((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)) + (p1_3_p0_3 * q0_3_p0_3)) + (p1_4_p0_4 * q0_4_p0_4)) + (p1_5_p0_5 * q0_5_p0_5)) + (p1_6_p0_6 * q0_6_p0_6))));
int int_tmp_result;
double eps;
double max1 = fabs(p0_0_p1_0);
if( (max1 < fabs(p0_1_p1_1)) )
{
max1 = fabs(p0_1_p1_1);
}
if( (max1 < fabs(p0_2_p1_2)) )
{
max1 = fabs(p0_2_p1_2);
}
if( (max1 < fabs(p0_3_p1_3)) )
{
max1 = fabs(p0_3_p1_3);
}
if( (max1 < fabs(p0_4_p1_4)) )
{
max1 = fabs(p0_4_p1_4);
}
if( (max1 < fabs(p0_5_p1_5)) )
{
max1 = fabs(p0_5_p1_5);
}
if( (max1 < fabs(p0_6_p1_6)) )
{
max1 = fabs(p0_6_p1_6);
}
if( (max1 < fabs(p1_0_p0_0)) )
{
max1 = fabs(p1_0_p0_0);
}
if( (max1 < fabs(p1_1_p0_1)) )
{
max1 = fabs(p1_1_p0_1);
}
if( (max1 < fabs(p1_2_p0_2)) )
{
max1 = fabs(p1_2_p0_2);
}
if( (max1 < fabs(p1_3_p0_3)) )
{
max1 = fabs(p1_3_p0_3);
}
if( (max1 < fabs(p1_4_p0_4)) )
{
max1 = fabs(p1_4_p0_4);
}
if( (max1 < fabs(p1_5_p0_5)) )
{
max1 = fabs(p1_5_p0_5);
}
if( (max1 < fabs(p1_6_p0_6)) )
{
max1 = fabs(p1_6_p0_6);
}
double max2 = fabs(p0_0_p1_0);
if( (max2 < fabs(p0_1_p1_1)) )
{
max2 = fabs(p0_1_p1_1);
}
if( (max2 < fabs(p0_2_p1_2)) )
{
max2 = fabs(p0_2_p1_2);
}
if( (max2 < fabs(p0_3_p1_3)) )
{
max2 = fabs(p0_3_p1_3);
}
if( (max2 < fabs(p0_4_p1_4)) )
{
max2 = fabs(p0_4_p1_4);
}
if( (max2 < fabs(p0_5_p1_5)) )
{
max2 = fabs(p0_5_p1_5);
}
if( (max2 < fabs(p0_6_p1_6)) )
{
max2 = fabs(p0_6_p1_6);
}
if( (max2 < fabs(q0_0_p0_0)) )
{
max2 = fabs(q0_0_p0_0);
}
if( (max2 < fabs(q0_1_p0_1)) )
{
max2 = fabs(q0_1_p0_1);
}
if( (max2 < fabs(q0_2_p0_2)) )
{
max2 = fabs(q0_2_p0_2);
}
if( (max2 < fabs(q0_3_p0_3)) )
{
max2 = fabs(q0_3_p0_3);
}
if( (max2 < fabs(q0_4_p0_4)) )
{
max2 = fabs(q0_4_p0_4);
}
if( (max2 < fabs(q0_5_p0_5)) )
{
max2 = fabs(q0_5_p0_5);
}
if( (max2 < fabs(q0_6_p0_6)) )
{
max2 = fabs(q0_6_p0_6);
}
double lower_bound_1;
double upper_bound_1;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (lower_bound_1 < 1.27080861580266953580e-147) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 5.59936185544450928309e+101) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (1.37779349582504943796e-14 * (max1 * max2));
if( (r > eps) )
{
int_tmp_result = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return int_tmp_result;
}
inline int side1_8d_filter( const double* p0, const double* p1, const double* q0) {
double p0_0_p1_0 = (p0[0] - p1[0]);
double p0_1_p1_1 = (p0[1] - p1[1]);
double p0_2_p1_2 = (p0[2] - p1[2]);
double p0_3_p1_3 = (p0[3] - p1[3]);
double p0_4_p1_4 = (p0[4] - p1[4]);
double p0_5_p1_5 = (p0[5] - p1[5]);
double p0_6_p1_6 = (p0[6] - p1[6]);
double p0_7_p1_7 = (p0[7] - p1[7]);
double r;
r = (1 * ((((((((p0_0_p1_0 * p0_0_p1_0) + (p0_1_p1_1 * p0_1_p1_1)) + (p0_2_p1_2 * p0_2_p1_2)) + (p0_3_p1_3 * p0_3_p1_3)) + (p0_4_p1_4 * p0_4_p1_4)) + (p0_5_p1_5 * p0_5_p1_5)) + (p0_6_p1_6 * p0_6_p1_6)) + (p0_7_p1_7 * p0_7_p1_7)));
double p1_0_p0_0 = (p1[0] - p0[0]);
double q0_0_p0_0 = (q0[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double p1_3_p0_3 = (p1[3] - p0[3]);
double q0_3_p0_3 = (q0[3] - p0[3]);
double p1_4_p0_4 = (p1[4] - p0[4]);
double q0_4_p0_4 = (q0[4] - p0[4]);
double p1_5_p0_5 = (p1[5] - p0[5]);
double q0_5_p0_5 = (q0[5] - p0[5]);
double p1_6_p0_6 = (p1[6] - p0[6]);
double q0_6_p0_6 = (q0[6] - p0[6]);
double p1_7_p0_7 = (p1[7] - p0[7]);
double q0_7_p0_7 = (q0[7] - p0[7]);
r = (r - (2 * ((((((((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)) + (p1_3_p0_3 * q0_3_p0_3)) + (p1_4_p0_4 * q0_4_p0_4)) + (p1_5_p0_5 * q0_5_p0_5)) + (p1_6_p0_6 * q0_6_p0_6)) + (p1_7_p0_7 * q0_7_p0_7))));
int int_tmp_result;
double eps;
double max1 = fabs(p0_1_p1_1);
if( (max1 < fabs(p0_2_p1_2)) )
{
max1 = fabs(p0_2_p1_2);
}
if( (max1 < fabs(p1_0_p0_0)) )
{
max1 = fabs(p1_0_p0_0);
}
if( (max1 < fabs(p0_0_p1_0)) )
{
max1 = fabs(p0_0_p1_0);
}
if( (max1 < fabs(p0_3_p1_3)) )
{
max1 = fabs(p0_3_p1_3);
}
if( (max1 < fabs(p0_4_p1_4)) )
{
max1 = fabs(p0_4_p1_4);
}
if( (max1 < fabs(p0_5_p1_5)) )
{
max1 = fabs(p0_5_p1_5);
}
if( (max1 < fabs(p0_6_p1_6)) )
{
max1 = fabs(p0_6_p1_6);
}
if( (max1 < fabs(p0_7_p1_7)) )
{
max1 = fabs(p0_7_p1_7);
}
if( (max1 < fabs(p1_1_p0_1)) )
{
max1 = fabs(p1_1_p0_1);
}
if( (max1 < fabs(p1_2_p0_2)) )
{
max1 = fabs(p1_2_p0_2);
}
if( (max1 < fabs(p1_3_p0_3)) )
{
max1 = fabs(p1_3_p0_3);
}
if( (max1 < fabs(p1_4_p0_4)) )
{
max1 = fabs(p1_4_p0_4);
}
if( (max1 < fabs(p1_5_p0_5)) )
{
max1 = fabs(p1_5_p0_5);
}
if( (max1 < fabs(p1_6_p0_6)) )
{
max1 = fabs(p1_6_p0_6);
}
if( (max1 < fabs(p1_7_p0_7)) )
{
max1 = fabs(p1_7_p0_7);
}
double max2 = fabs(p0_1_p1_1);
if( (max2 < fabs(p0_2_p1_2)) )
{
max2 = fabs(p0_2_p1_2);
}
if( (max2 < fabs(p0_0_p1_0)) )
{
max2 = fabs(p0_0_p1_0);
}
if( (max2 < fabs(p0_3_p1_3)) )
{
max2 = fabs(p0_3_p1_3);
}
if( (max2 < fabs(p0_4_p1_4)) )
{
max2 = fabs(p0_4_p1_4);
}
if( (max2 < fabs(p0_5_p1_5)) )
{
max2 = fabs(p0_5_p1_5);
}
if( (max2 < fabs(p0_6_p1_6)) )
{
max2 = fabs(p0_6_p1_6);
}
if( (max2 < fabs(p0_7_p1_7)) )
{
max2 = fabs(p0_7_p1_7);
}
if( (max2 < fabs(q0_0_p0_0)) )
{
max2 = fabs(q0_0_p0_0);
}
if( (max2 < fabs(q0_1_p0_1)) )
{
max2 = fabs(q0_1_p0_1);
}
if( (max2 < fabs(q0_2_p0_2)) )
{
max2 = fabs(q0_2_p0_2);
}
if( (max2 < fabs(q0_3_p0_3)) )
{
max2 = fabs(q0_3_p0_3);
}
if( (max2 < fabs(q0_4_p0_4)) )
{
max2 = fabs(q0_4_p0_4);
}
if( (max2 < fabs(q0_5_p0_5)) )
{
max2 = fabs(q0_5_p0_5);
}
if( (max2 < fabs(q0_6_p0_6)) )
{
max2 = fabs(q0_6_p0_6);
}
if( (max2 < fabs(q0_7_p0_7)) )
{
max2 = fabs(q0_7_p0_7);
}
double lower_bound_1;
double upper_bound_1;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (lower_bound_1 < 1.15542931091530087067e-147) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 5.59936185544450928309e+101) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (1.66670090166682227006e-14 * (max1 * max2));
if( (r > eps) )
{
int_tmp_result = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return int_tmp_result;
}
/******* extracted from predicates/side2.h *******/
inline int side2_3d_filter( const double* p0, const double* p1, const double* p2, const double* q0, const double* q1) {
double p1_0_p0_0 = (p1[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double l1;
l1 = (1 * (((p1_0_p0_0 * p1_0_p0_0) + (p1_1_p0_1 * p1_1_p0_1)) + (p1_2_p0_2 * p1_2_p0_2)));
double p2_0_p0_0 = (p2[0] - p0[0]);
double p2_1_p0_1 = (p2[1] - p0[1]);
double p2_2_p0_2 = (p2[2] - p0[2]);
double l2;
l2 = (1 * (((p2_0_p0_0 * p2_0_p0_0) + (p2_1_p0_1 * p2_1_p0_1)) + (p2_2_p0_2 * p2_2_p0_2)));
double q0_0_p0_0 = (q0[0] - p0[0]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double a10;
a10 = (2 * (((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)));
double q1_0_p0_0 = (q1[0] - p0[0]);
double q1_1_p0_1 = (q1[1] - p0[1]);
double q1_2_p0_2 = (q1[2] - p0[2]);
double a11;
a11 = (2 * (((p1_0_p0_0 * q1_0_p0_0) + (p1_1_p0_1 * q1_1_p0_1)) + (p1_2_p0_2 * q1_2_p0_2)));
double a20;
a20 = (2 * (((p2_0_p0_0 * q0_0_p0_0) + (p2_1_p0_1 * q0_1_p0_1)) + (p2_2_p0_2 * q0_2_p0_2)));
double a21;
a21 = (2 * (((p2_0_p0_0 * q1_0_p0_0) + (p2_1_p0_1 * q1_1_p0_1)) + (p2_2_p0_2 * q1_2_p0_2)));
double Delta;
Delta = (a11 - a10);
double DeltaLambda0;
DeltaLambda0 = (a11 - l1);
double DeltaLambda1;
DeltaLambda1 = (l1 - a10);
double r;
r = (((Delta * l2) - (a20 * DeltaLambda0)) - (a21 * DeltaLambda1));
double eps;
double max1 = fabs(p1_0_p0_0);
if( (max1 < fabs(p1_1_p0_1)) )
{
max1 = fabs(p1_1_p0_1);
}
if( (max1 < fabs(p1_2_p0_2)) )
{
max1 = fabs(p1_2_p0_2);
}
double max2 = fabs(q0_0_p0_0);
if( (max2 < fabs(q0_1_p0_1)) )
{
max2 = fabs(q0_1_p0_1);
}
if( (max2 < fabs(q0_2_p0_2)) )
{
max2 = fabs(q0_2_p0_2);
}
if( (max2 < fabs(q1_0_p0_0)) )
{
max2 = fabs(q1_0_p0_0);
}
if( (max2 < fabs(q1_1_p0_1)) )
{
max2 = fabs(q1_1_p0_1);
}
if( (max2 < fabs(q1_2_p0_2)) )
{
max2 = fabs(q1_2_p0_2);
}
double lower_bound_1;
double upper_bound_1;
int Delta_sign;
int int_tmp_result;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (lower_bound_1 < 2.23755023300058943229e-147) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 3.74144419156711063983e+50) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (4.44425370757048798480e-15 * (max1 * max2));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta_sign = int_tmp_result;
double max3 = max1;
if( (max3 < max2) )
{
max3 = max2;
}
double max4 = max2;
if( (max4 < fabs(p2_0_p0_0)) )
{
max4 = fabs(p2_0_p0_0);
}
if( (max4 < fabs(p2_1_p0_1)) )
{
max4 = fabs(p2_1_p0_1);
}
if( (max4 < fabs(p2_2_p0_2)) )
{
max4 = fabs(p2_2_p0_2);
}
if( (max3 < max4) )
{
max3 = max4;
}
int r_sign;
int int_tmp_result_FFWKCAA;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
if( (lower_bound_1 < 2.22985945097100191780e-74) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 3.74144419156711063983e+50) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (8.99983341597279045654e-14 * (((max1 * max4) * max4) * max3));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
r_sign = int_tmp_result_FFWKCAA;
return (Delta_sign * r_sign);
}
inline int side2_4d_filter( const double* p0, const double* p1, const double* p2, const double* q0, const double* q1) {
double p1_0_p0_0 = (p1[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double p1_3_p0_3 = (p1[3] - p0[3]);
double l1;
l1 = (1 * ((((p1_0_p0_0 * p1_0_p0_0) + (p1_1_p0_1 * p1_1_p0_1)) + (p1_2_p0_2 * p1_2_p0_2)) + (p1_3_p0_3 * p1_3_p0_3)));
double p2_0_p0_0 = (p2[0] - p0[0]);
double p2_1_p0_1 = (p2[1] - p0[1]);
double p2_2_p0_2 = (p2[2] - p0[2]);
double p2_3_p0_3 = (p2[3] - p0[3]);
double l2;
l2 = (1 * ((((p2_0_p0_0 * p2_0_p0_0) + (p2_1_p0_1 * p2_1_p0_1)) + (p2_2_p0_2 * p2_2_p0_2)) + (p2_3_p0_3 * p2_3_p0_3)));
double q0_0_p0_0 = (q0[0] - p0[0]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double q0_3_p0_3 = (q0[3] - p0[3]);
double a10;
a10 = (2 * ((((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)) + (p1_3_p0_3 * q0_3_p0_3)));
double q1_0_p0_0 = (q1[0] - p0[0]);
double q1_1_p0_1 = (q1[1] - p0[1]);
double q1_2_p0_2 = (q1[2] - p0[2]);
double q1_3_p0_3 = (q1[3] - p0[3]);
double a11;
a11 = (2 * ((((p1_0_p0_0 * q1_0_p0_0) + (p1_1_p0_1 * q1_1_p0_1)) + (p1_2_p0_2 * q1_2_p0_2)) + (p1_3_p0_3 * q1_3_p0_3)));
double a20;
a20 = (2 * ((((p2_0_p0_0 * q0_0_p0_0) + (p2_1_p0_1 * q0_1_p0_1)) + (p2_2_p0_2 * q0_2_p0_2)) + (p2_3_p0_3 * q0_3_p0_3)));
double a21;
a21 = (2 * ((((p2_0_p0_0 * q1_0_p0_0) + (p2_1_p0_1 * q1_1_p0_1)) + (p2_2_p0_2 * q1_2_p0_2)) + (p2_3_p0_3 * q1_3_p0_3)));
double Delta;
Delta = (a11 - a10);
double DeltaLambda0;
DeltaLambda0 = (a11 - l1);
double DeltaLambda1;
DeltaLambda1 = (l1 - a10);
double r;
r = (((Delta * l2) - (a20 * DeltaLambda0)) - (a21 * DeltaLambda1));
double eps;
double max1 = fabs(p1_2_p0_2);
if( (max1 < fabs(p1_0_p0_0)) )
{
max1 = fabs(p1_0_p0_0);
}
if( (max1 < fabs(p1_1_p0_1)) )
{
max1 = fabs(p1_1_p0_1);
}
if( (max1 < fabs(p1_3_p0_3)) )
{
max1 = fabs(p1_3_p0_3);
}
double max2 = fabs(q0_0_p0_0);
if( (max2 < fabs(q0_1_p0_1)) )
{
max2 = fabs(q0_1_p0_1);
}
if( (max2 < fabs(q0_2_p0_2)) )
{
max2 = fabs(q0_2_p0_2);
}
if( (max2 < fabs(q0_3_p0_3)) )
{
max2 = fabs(q0_3_p0_3);
}
if( (max2 < fabs(q1_0_p0_0)) )
{
max2 = fabs(q1_0_p0_0);
}
if( (max2 < fabs(q1_1_p0_1)) )
{
max2 = fabs(q1_1_p0_1);
}
if( (max2 < fabs(q1_2_p0_2)) )
{
max2 = fabs(q1_2_p0_2);
}
if( (max2 < fabs(q1_3_p0_3)) )
{
max2 = fabs(q1_3_p0_3);
}
double lower_bound_1;
double upper_bound_1;
int Delta_sign;
int int_tmp_result;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (lower_bound_1 < 1.85816790703293534018e-147) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.87072209578355531992e+50) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (6.44428177279185717888e-15 * (max1 * max2));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta_sign = int_tmp_result;
double max3 = max1;
if( (max3 < max2) )
{
max3 = max2;
}
double max4 = max2;
if( (max4 < fabs(p2_0_p0_0)) )
{
max4 = fabs(p2_0_p0_0);
}
if( (max4 < fabs(p2_2_p0_2)) )
{
max4 = fabs(p2_2_p0_2);
}
if( (max4 < fabs(p2_1_p0_1)) )
{
max4 = fabs(p2_1_p0_1);
}
if( (max4 < fabs(p2_3_p0_3)) )
{
max4 = fabs(p2_3_p0_3);
}
if( (max3 < max4) )
{
max3 = max4;
}
int r_sign;
int int_tmp_result_FFWKCAA;
lower_bound_1 = max3;
upper_bound_1 = max3;
if( (max1 < lower_bound_1) )
{
lower_bound_1 = max1;
}
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
if( (lower_bound_1 < 1.89528395402941802921e-74) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.87072209578355531992e+50) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (1.72443682410932010423e-13 * (((max1 * max4) * max4) * max3));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
r_sign = int_tmp_result_FFWKCAA;
return (Delta_sign * r_sign);
}
inline int side2_6d_filter( const double* p0, const double* p1, const double* p2, const double* q0, const double* q1) {
double p1_0_p0_0 = (p1[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double p1_3_p0_3 = (p1[3] - p0[3]);
double p1_4_p0_4 = (p1[4] - p0[4]);
double p1_5_p0_5 = (p1[5] - p0[5]);
double l1;
l1 = (1 * ((((((p1_0_p0_0 * p1_0_p0_0) + (p1_1_p0_1 * p1_1_p0_1)) + (p1_2_p0_2 * p1_2_p0_2)) + (p1_3_p0_3 * p1_3_p0_3)) + (p1_4_p0_4 * p1_4_p0_4)) + (p1_5_p0_5 * p1_5_p0_5)));
double p2_0_p0_0 = (p2[0] - p0[0]);
double p2_1_p0_1 = (p2[1] - p0[1]);
double p2_2_p0_2 = (p2[2] - p0[2]);
double p2_3_p0_3 = (p2[3] - p0[3]);
double p2_4_p0_4 = (p2[4] - p0[4]);
double p2_5_p0_5 = (p2[5] - p0[5]);
double l2;
l2 = (1 * ((((((p2_0_p0_0 * p2_0_p0_0) + (p2_1_p0_1 * p2_1_p0_1)) + (p2_2_p0_2 * p2_2_p0_2)) + (p2_3_p0_3 * p2_3_p0_3)) + (p2_4_p0_4 * p2_4_p0_4)) + (p2_5_p0_5 * p2_5_p0_5)));
double q0_0_p0_0 = (q0[0] - p0[0]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double q0_3_p0_3 = (q0[3] - p0[3]);
double q0_4_p0_4 = (q0[4] - p0[4]);
double q0_5_p0_5 = (q0[5] - p0[5]);
double a10;
a10 = (2 * ((((((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)) + (p1_3_p0_3 * q0_3_p0_3)) + (p1_4_p0_4 * q0_4_p0_4)) + (p1_5_p0_5 * q0_5_p0_5)));
double q1_0_p0_0 = (q1[0] - p0[0]);
double q1_1_p0_1 = (q1[1] - p0[1]);
double q1_2_p0_2 = (q1[2] - p0[2]);
double q1_3_p0_3 = (q1[3] - p0[3]);
double q1_4_p0_4 = (q1[4] - p0[4]);
double q1_5_p0_5 = (q1[5] - p0[5]);
double a11;
a11 = (2 * ((((((p1_0_p0_0 * q1_0_p0_0) + (p1_1_p0_1 * q1_1_p0_1)) + (p1_2_p0_2 * q1_2_p0_2)) + (p1_3_p0_3 * q1_3_p0_3)) + (p1_4_p0_4 * q1_4_p0_4)) + (p1_5_p0_5 * q1_5_p0_5)));
double a20;
a20 = (2 * ((((((p2_0_p0_0 * q0_0_p0_0) + (p2_1_p0_1 * q0_1_p0_1)) + (p2_2_p0_2 * q0_2_p0_2)) + (p2_3_p0_3 * q0_3_p0_3)) + (p2_4_p0_4 * q0_4_p0_4)) + (p2_5_p0_5 * q0_5_p0_5)));
double a21;
a21 = (2 * ((((((p2_0_p0_0 * q1_0_p0_0) + (p2_1_p0_1 * q1_1_p0_1)) + (p2_2_p0_2 * q1_2_p0_2)) + (p2_3_p0_3 * q1_3_p0_3)) + (p2_4_p0_4 * q1_4_p0_4)) + (p2_5_p0_5 * q1_5_p0_5)));
double Delta;
Delta = (a11 - a10);
double DeltaLambda0;
DeltaLambda0 = (a11 - l1);
double DeltaLambda1;
DeltaLambda1 = (l1 - a10);
double r;
r = (((Delta * l2) - (a20 * DeltaLambda0)) - (a21 * DeltaLambda1));
double eps;
double max1 = fabs(p1_1_p0_1);
if( (max1 < fabs(p1_2_p0_2)) )
{
max1 = fabs(p1_2_p0_2);
}
if( (max1 < fabs(p1_3_p0_3)) )
{
max1 = fabs(p1_3_p0_3);
}
if( (max1 < fabs(p1_0_p0_0)) )
{
max1 = fabs(p1_0_p0_0);
}
if( (max1 < fabs(p1_4_p0_4)) )
{
max1 = fabs(p1_4_p0_4);
}
if( (max1 < fabs(p1_5_p0_5)) )
{
max1 = fabs(p1_5_p0_5);
}
double max2 = fabs(q0_0_p0_0);
if( (max2 < fabs(q0_1_p0_1)) )
{
max2 = fabs(q0_1_p0_1);
}
if( (max2 < fabs(q0_2_p0_2)) )
{
max2 = fabs(q0_2_p0_2);
}
if( (max2 < fabs(q0_3_p0_3)) )
{
max2 = fabs(q0_3_p0_3);
}
if( (max2 < fabs(q0_4_p0_4)) )
{
max2 = fabs(q0_4_p0_4);
}
if( (max2 < fabs(q0_5_p0_5)) )
{
max2 = fabs(q0_5_p0_5);
}
if( (max2 < fabs(q1_0_p0_0)) )
{
max2 = fabs(q1_0_p0_0);
}
if( (max2 < fabs(q1_1_p0_1)) )
{
max2 = fabs(q1_1_p0_1);
}
if( (max2 < fabs(q1_2_p0_2)) )
{
max2 = fabs(q1_2_p0_2);
}
if( (max2 < fabs(q1_3_p0_3)) )
{
max2 = fabs(q1_3_p0_3);
}
if( (max2 < fabs(q1_4_p0_4)) )
{
max2 = fabs(q1_4_p0_4);
}
if( (max2 < fabs(q1_5_p0_5)) )
{
max2 = fabs(q1_5_p0_5);
}
double lower_bound_1;
double upper_bound_1;
int Delta_sign;
int int_tmp_result;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (lower_bound_1 < 1.41511993781011659868e-147) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.87072209578355531992e+50) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (1.11111223981318615596e-14 * (max1 * max2));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta_sign = int_tmp_result;
double max3 = max1;
if( (max3 < max2) )
{
max3 = max2;
}
double max4 = max2;
if( (max4 < fabs(p2_2_p0_2)) )
{
max4 = fabs(p2_2_p0_2);
}
if( (max4 < fabs(p2_4_p0_4)) )
{
max4 = fabs(p2_4_p0_4);
}
if( (max4 < fabs(p2_3_p0_3)) )
{
max4 = fabs(p2_3_p0_3);
}
if( (max4 < fabs(p2_0_p0_0)) )
{
max4 = fabs(p2_0_p0_0);
}
if( (max4 < fabs(p2_1_p0_1)) )
{
max4 = fabs(p2_1_p0_1);
}
if( (max4 < fabs(p2_5_p0_5)) )
{
max4 = fabs(p2_5_p0_5);
}
if( (max3 < max4) )
{
max3 = max4;
}
int r_sign;
int int_tmp_result_FFWKCAA;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
if( (lower_bound_1 < 1.49958502193059513986e-74) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.87072209578355531992e+50) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (4.40007476026584016994e-13 * (((max1 * max4) * max4) * max3));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
r_sign = int_tmp_result_FFWKCAA;
return (Delta_sign * r_sign);
}
inline int side2_7d_filter( const double* p0, const double* p1, const double* p2, const double* q0, const double* q1) {
double p1_0_p0_0 = (p1[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double p1_3_p0_3 = (p1[3] - p0[3]);
double p1_4_p0_4 = (p1[4] - p0[4]);
double p1_5_p0_5 = (p1[5] - p0[5]);
double p1_6_p0_6 = (p1[6] - p0[6]);
double l1;
l1 = (1 * (((((((p1_0_p0_0 * p1_0_p0_0) + (p1_1_p0_1 * p1_1_p0_1)) + (p1_2_p0_2 * p1_2_p0_2)) + (p1_3_p0_3 * p1_3_p0_3)) + (p1_4_p0_4 * p1_4_p0_4)) + (p1_5_p0_5 * p1_5_p0_5)) + (p1_6_p0_6 * p1_6_p0_6)));
double p2_0_p0_0 = (p2[0] - p0[0]);
double p2_1_p0_1 = (p2[1] - p0[1]);
double p2_2_p0_2 = (p2[2] - p0[2]);
double p2_3_p0_3 = (p2[3] - p0[3]);
double p2_4_p0_4 = (p2[4] - p0[4]);
double p2_5_p0_5 = (p2[5] - p0[5]);
double p2_6_p0_6 = (p2[6] - p0[6]);
double l2;
l2 = (1 * (((((((p2_0_p0_0 * p2_0_p0_0) + (p2_1_p0_1 * p2_1_p0_1)) + (p2_2_p0_2 * p2_2_p0_2)) + (p2_3_p0_3 * p2_3_p0_3)) + (p2_4_p0_4 * p2_4_p0_4)) + (p2_5_p0_5 * p2_5_p0_5)) + (p2_6_p0_6 * p2_6_p0_6)));
double q0_0_p0_0 = (q0[0] - p0[0]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double q0_3_p0_3 = (q0[3] - p0[3]);
double q0_4_p0_4 = (q0[4] - p0[4]);
double q0_5_p0_5 = (q0[5] - p0[5]);
double q0_6_p0_6 = (q0[6] - p0[6]);
double a10;
a10 = (2 * (((((((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)) + (p1_3_p0_3 * q0_3_p0_3)) + (p1_4_p0_4 * q0_4_p0_4)) + (p1_5_p0_5 * q0_5_p0_5)) + (p1_6_p0_6 * q0_6_p0_6)));
double q1_0_p0_0 = (q1[0] - p0[0]);
double q1_1_p0_1 = (q1[1] - p0[1]);
double q1_2_p0_2 = (q1[2] - p0[2]);
double q1_3_p0_3 = (q1[3] - p0[3]);
double q1_4_p0_4 = (q1[4] - p0[4]);
double q1_5_p0_5 = (q1[5] - p0[5]);
double q1_6_p0_6 = (q1[6] - p0[6]);
double a11;
a11 = (2 * (((((((p1_0_p0_0 * q1_0_p0_0) + (p1_1_p0_1 * q1_1_p0_1)) + (p1_2_p0_2 * q1_2_p0_2)) + (p1_3_p0_3 * q1_3_p0_3)) + (p1_4_p0_4 * q1_4_p0_4)) + (p1_5_p0_5 * q1_5_p0_5)) + (p1_6_p0_6 * q1_6_p0_6)));
double a20;
a20 = (2 * (((((((p2_0_p0_0 * q0_0_p0_0) + (p2_1_p0_1 * q0_1_p0_1)) + (p2_2_p0_2 * q0_2_p0_2)) + (p2_3_p0_3 * q0_3_p0_3)) + (p2_4_p0_4 * q0_4_p0_4)) + (p2_5_p0_5 * q0_5_p0_5)) + (p2_6_p0_6 * q0_6_p0_6)));
double a21;
a21 = (2 * (((((((p2_0_p0_0 * q1_0_p0_0) + (p2_1_p0_1 * q1_1_p0_1)) + (p2_2_p0_2 * q1_2_p0_2)) + (p2_3_p0_3 * q1_3_p0_3)) + (p2_4_p0_4 * q1_4_p0_4)) + (p2_5_p0_5 * q1_5_p0_5)) + (p2_6_p0_6 * q1_6_p0_6)));
double Delta;
Delta = (a11 - a10);
double DeltaLambda0;
DeltaLambda0 = (a11 - l1);
double DeltaLambda1;
DeltaLambda1 = (l1 - a10);
double r;
r = (((Delta * l2) - (a20 * DeltaLambda0)) - (a21 * DeltaLambda1));
double eps;
double max1 = fabs(p1_2_p0_2);
if( (max1 < fabs(p1_1_p0_1)) )
{
max1 = fabs(p1_1_p0_1);
}
if( (max1 < fabs(p1_0_p0_0)) )
{
max1 = fabs(p1_0_p0_0);
}
if( (max1 < fabs(p1_4_p0_4)) )
{
max1 = fabs(p1_4_p0_4);
}
if( (max1 < fabs(p1_3_p0_3)) )
{
max1 = fabs(p1_3_p0_3);
}
if( (max1 < fabs(p1_5_p0_5)) )
{
max1 = fabs(p1_5_p0_5);
}
if( (max1 < fabs(p1_6_p0_6)) )
{
max1 = fabs(p1_6_p0_6);
}
double max2 = fabs(q0_0_p0_0);
if( (max2 < fabs(q0_1_p0_1)) )
{
max2 = fabs(q0_1_p0_1);
}
if( (max2 < fabs(q0_2_p0_2)) )
{
max2 = fabs(q0_2_p0_2);
}
if( (max2 < fabs(q0_3_p0_3)) )
{
max2 = fabs(q0_3_p0_3);
}
if( (max2 < fabs(q0_4_p0_4)) )
{
max2 = fabs(q0_4_p0_4);
}
if( (max2 < fabs(q0_5_p0_5)) )
{
max2 = fabs(q0_5_p0_5);
}
if( (max2 < fabs(q0_6_p0_6)) )
{
max2 = fabs(q0_6_p0_6);
}
if( (max2 < fabs(q1_0_p0_0)) )
{
max2 = fabs(q1_0_p0_0);
}
if( (max2 < fabs(q1_1_p0_1)) )
{
max2 = fabs(q1_1_p0_1);
}
if( (max2 < fabs(q1_2_p0_2)) )
{
max2 = fabs(q1_2_p0_2);
}
if( (max2 < fabs(q1_3_p0_3)) )
{
max2 = fabs(q1_3_p0_3);
}
if( (max2 < fabs(q1_4_p0_4)) )
{
max2 = fabs(q1_4_p0_4);
}
if( (max2 < fabs(q1_5_p0_5)) )
{
max2 = fabs(q1_5_p0_5);
}
if( (max2 < fabs(q1_6_p0_6)) )
{
max2 = fabs(q1_6_p0_6);
}
double lower_bound_1;
double upper_bound_1;
int Delta_sign;
int int_tmp_result;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (lower_bound_1 < 1.27080861580266953580e-147) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.87072209578355531992e+50) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (1.37779349582504943796e-14 * (max1 * max2));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta_sign = int_tmp_result;
double max3 = max1;
if( (max3 < max2) )
{
max3 = max2;
}
double max4 = max2;
if( (max4 < fabs(p2_0_p0_0)) )
{
max4 = fabs(p2_0_p0_0);
}
if( (max4 < fabs(p2_1_p0_1)) )
{
max4 = fabs(p2_1_p0_1);
}
if( (max4 < fabs(p2_2_p0_2)) )
{
max4 = fabs(p2_2_p0_2);
}
if( (max4 < fabs(p2_3_p0_3)) )
{
max4 = fabs(p2_3_p0_3);
}
if( (max4 < fabs(p2_4_p0_4)) )
{
max4 = fabs(p2_4_p0_4);
}
if( (max4 < fabs(p2_5_p0_5)) )
{
max4 = fabs(p2_5_p0_5);
}
if( (max4 < fabs(p2_6_p0_6)) )
{
max4 = fabs(p2_6_p0_6);
}
if( (max3 < max4) )
{
max3 = max4;
}
int r_sign;
int int_tmp_result_FFWKCAA;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
if( (lower_bound_1 < 1.36918881183883509035e-74) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.87072209578355531992e+50) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (6.33127335329798996022e-13 * (((max1 * max4) * max4) * max3));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
r_sign = int_tmp_result_FFWKCAA;
return (Delta_sign * r_sign);
}
inline int side2_8d_filter( const double* p0, const double* p1, const double* p2, const double* q0, const double* q1) {
double p1_0_p0_0 = (p1[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double p1_3_p0_3 = (p1[3] - p0[3]);
double p1_4_p0_4 = (p1[4] - p0[4]);
double p1_5_p0_5 = (p1[5] - p0[5]);
double p1_6_p0_6 = (p1[6] - p0[6]);
double p1_7_p0_7 = (p1[7] - p0[7]);
double l1;
l1 = (1 * ((((((((p1_0_p0_0 * p1_0_p0_0) + (p1_1_p0_1 * p1_1_p0_1)) + (p1_2_p0_2 * p1_2_p0_2)) + (p1_3_p0_3 * p1_3_p0_3)) + (p1_4_p0_4 * p1_4_p0_4)) + (p1_5_p0_5 * p1_5_p0_5)) + (p1_6_p0_6 * p1_6_p0_6)) + (p1_7_p0_7 * p1_7_p0_7)));
double p2_0_p0_0 = (p2[0] - p0[0]);
double p2_1_p0_1 = (p2[1] - p0[1]);
double p2_2_p0_2 = (p2[2] - p0[2]);
double p2_3_p0_3 = (p2[3] - p0[3]);
double p2_4_p0_4 = (p2[4] - p0[4]);
double p2_5_p0_5 = (p2[5] - p0[5]);
double p2_6_p0_6 = (p2[6] - p0[6]);
double p2_7_p0_7 = (p2[7] - p0[7]);
double l2;
l2 = (1 * ((((((((p2_0_p0_0 * p2_0_p0_0) + (p2_1_p0_1 * p2_1_p0_1)) + (p2_2_p0_2 * p2_2_p0_2)) + (p2_3_p0_3 * p2_3_p0_3)) + (p2_4_p0_4 * p2_4_p0_4)) + (p2_5_p0_5 * p2_5_p0_5)) + (p2_6_p0_6 * p2_6_p0_6)) + (p2_7_p0_7 * p2_7_p0_7)));
double q0_0_p0_0 = (q0[0] - p0[0]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double q0_3_p0_3 = (q0[3] - p0[3]);
double q0_4_p0_4 = (q0[4] - p0[4]);
double q0_5_p0_5 = (q0[5] - p0[5]);
double q0_6_p0_6 = (q0[6] - p0[6]);
double q0_7_p0_7 = (q0[7] - p0[7]);
double a10;
a10 = (2 * ((((((((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)) + (p1_3_p0_3 * q0_3_p0_3)) + (p1_4_p0_4 * q0_4_p0_4)) + (p1_5_p0_5 * q0_5_p0_5)) + (p1_6_p0_6 * q0_6_p0_6)) + (p1_7_p0_7 * q0_7_p0_7)));
double q1_0_p0_0 = (q1[0] - p0[0]);
double q1_1_p0_1 = (q1[1] - p0[1]);
double q1_2_p0_2 = (q1[2] - p0[2]);
double q1_3_p0_3 = (q1[3] - p0[3]);
double q1_4_p0_4 = (q1[4] - p0[4]);
double q1_5_p0_5 = (q1[5] - p0[5]);
double q1_6_p0_6 = (q1[6] - p0[6]);
double q1_7_p0_7 = (q1[7] - p0[7]);
double a11;
a11 = (2 * ((((((((p1_0_p0_0 * q1_0_p0_0) + (p1_1_p0_1 * q1_1_p0_1)) + (p1_2_p0_2 * q1_2_p0_2)) + (p1_3_p0_3 * q1_3_p0_3)) + (p1_4_p0_4 * q1_4_p0_4)) + (p1_5_p0_5 * q1_5_p0_5)) + (p1_6_p0_6 * q1_6_p0_6)) + (p1_7_p0_7 * q1_7_p0_7)));
double a20;
a20 = (2 * ((((((((p2_0_p0_0 * q0_0_p0_0) + (p2_1_p0_1 * q0_1_p0_1)) + (p2_2_p0_2 * q0_2_p0_2)) + (p2_3_p0_3 * q0_3_p0_3)) + (p2_4_p0_4 * q0_4_p0_4)) + (p2_5_p0_5 * q0_5_p0_5)) + (p2_6_p0_6 * q0_6_p0_6)) + (p2_7_p0_7 * q0_7_p0_7)));
double a21;
a21 = (2 * ((((((((p2_0_p0_0 * q1_0_p0_0) + (p2_1_p0_1 * q1_1_p0_1)) + (p2_2_p0_2 * q1_2_p0_2)) + (p2_3_p0_3 * q1_3_p0_3)) + (p2_4_p0_4 * q1_4_p0_4)) + (p2_5_p0_5 * q1_5_p0_5)) + (p2_6_p0_6 * q1_6_p0_6)) + (p2_7_p0_7 * q1_7_p0_7)));
double Delta;
Delta = (a11 - a10);
double DeltaLambda0;
DeltaLambda0 = (a11 - l1);
double DeltaLambda1;
DeltaLambda1 = (l1 - a10);
double r;
r = (((Delta * l2) - (a20 * DeltaLambda0)) - (a21 * DeltaLambda1));
double eps;
double max1 = fabs(p1_4_p0_4);
if( (max1 < fabs(p1_3_p0_3)) )
{
max1 = fabs(p1_3_p0_3);
}
if( (max1 < fabs(p1_7_p0_7)) )
{
max1 = fabs(p1_7_p0_7);
}
if( (max1 < fabs(p1_0_p0_0)) )
{
max1 = fabs(p1_0_p0_0);
}
if( (max1 < fabs(p1_6_p0_6)) )
{
max1 = fabs(p1_6_p0_6);
}
if( (max1 < fabs(p1_2_p0_2)) )
{
max1 = fabs(p1_2_p0_2);
}
if( (max1 < fabs(p1_1_p0_1)) )
{
max1 = fabs(p1_1_p0_1);
}
if( (max1 < fabs(p1_5_p0_5)) )
{
max1 = fabs(p1_5_p0_5);
}
double max2 = fabs(q0_0_p0_0);
if( (max2 < fabs(q0_1_p0_1)) )
{
max2 = fabs(q0_1_p0_1);
}
if( (max2 < fabs(q0_2_p0_2)) )
{
max2 = fabs(q0_2_p0_2);
}
if( (max2 < fabs(q0_3_p0_3)) )
{
max2 = fabs(q0_3_p0_3);
}
if( (max2 < fabs(q0_4_p0_4)) )
{
max2 = fabs(q0_4_p0_4);
}
if( (max2 < fabs(q0_5_p0_5)) )
{
max2 = fabs(q0_5_p0_5);
}
if( (max2 < fabs(q0_6_p0_6)) )
{
max2 = fabs(q0_6_p0_6);
}
if( (max2 < fabs(q0_7_p0_7)) )
{
max2 = fabs(q0_7_p0_7);
}
if( (max2 < fabs(q1_0_p0_0)) )
{
max2 = fabs(q1_0_p0_0);
}
if( (max2 < fabs(q1_1_p0_1)) )
{
max2 = fabs(q1_1_p0_1);
}
if( (max2 < fabs(q1_2_p0_2)) )
{
max2 = fabs(q1_2_p0_2);
}
if( (max2 < fabs(q1_3_p0_3)) )
{
max2 = fabs(q1_3_p0_3);
}
if( (max2 < fabs(q1_4_p0_4)) )
{
max2 = fabs(q1_4_p0_4);
}
if( (max2 < fabs(q1_5_p0_5)) )
{
max2 = fabs(q1_5_p0_5);
}
if( (max2 < fabs(q1_6_p0_6)) )
{
max2 = fabs(q1_6_p0_6);
}
if( (max2 < fabs(q1_7_p0_7)) )
{
max2 = fabs(q1_7_p0_7);
}
double lower_bound_1;
double upper_bound_1;
int Delta_sign;
int int_tmp_result;
lower_bound_1 = max2;
upper_bound_1 = max2;
if( (max1 < lower_bound_1) )
{
lower_bound_1 = max1;
}
else
{
if( (max1 > upper_bound_1) )
{
upper_bound_1 = max1;
}
}
if( (lower_bound_1 < 1.15542931091530087067e-147) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.87072209578355531992e+50) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (1.66670090166682227006e-14 * (max1 * max2));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta_sign = int_tmp_result;
double max3 = max2;
if( (max3 < max1) )
{
max3 = max1;
}
double max4 = max2;
if( (max4 < fabs(p2_4_p0_4)) )
{
max4 = fabs(p2_4_p0_4);
}
if( (max4 < fabs(p2_2_p0_2)) )
{
max4 = fabs(p2_2_p0_2);
}
if( (max4 < fabs(p2_0_p0_0)) )
{
max4 = fabs(p2_0_p0_0);
}
if( (max4 < fabs(p2_1_p0_1)) )
{
max4 = fabs(p2_1_p0_1);
}
if( (max4 < fabs(p2_3_p0_3)) )
{
max4 = fabs(p2_3_p0_3);
}
if( (max4 < fabs(p2_5_p0_5)) )
{
max4 = fabs(p2_5_p0_5);
}
if( (max4 < fabs(p2_6_p0_6)) )
{
max4 = fabs(p2_6_p0_6);
}
if( (max4 < fabs(p2_7_p0_7)) )
{
max4 = fabs(p2_7_p0_7);
}
if( (max3 < max4) )
{
max3 = max4;
}
int r_sign;
int int_tmp_result_FFWKCAA;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
if( (lower_bound_1 < 1.26419510663115923609e-74) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.87072209578355531992e+50) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (8.71140112255785451890e-13 * (((max1 * max4) * max4) * max3));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
r_sign = int_tmp_result_FFWKCAA;
return (Delta_sign * r_sign);
}
/******* extracted from predicates/side3.h *******/
inline int side3_2d_filter( const double* p0, const double* p1, const double* p2, const double* p3, const double* q0, const double* q1, const double* q2) {
double p1_0_p0_0 = (p1[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double l1;
l1 = (1 * ((p1_0_p0_0 * p1_0_p0_0) + (p1_1_p0_1 * p1_1_p0_1)));
double p2_0_p0_0 = (p2[0] - p0[0]);
double p2_1_p0_1 = (p2[1] - p0[1]);
double l2;
l2 = (1 * ((p2_0_p0_0 * p2_0_p0_0) + (p2_1_p0_1 * p2_1_p0_1)));
double p3_0_p0_0 = (p3[0] - p0[0]);
double p3_1_p0_1 = (p3[1] - p0[1]);
double l3;
l3 = (1 * ((p3_0_p0_0 * p3_0_p0_0) + (p3_1_p0_1 * p3_1_p0_1)));
double q0_0_p0_0 = (q0[0] - p0[0]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double a10;
a10 = (2 * ((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)));
double q1_0_p0_0 = (q1[0] - p0[0]);
double q1_1_p0_1 = (q1[1] - p0[1]);
double a11;
a11 = (2 * ((p1_0_p0_0 * q1_0_p0_0) + (p1_1_p0_1 * q1_1_p0_1)));
double q2_0_p0_0 = (q2[0] - p0[0]);
double q2_1_p0_1 = (q2[1] - p0[1]);
double a12;
a12 = (2 * ((p1_0_p0_0 * q2_0_p0_0) + (p1_1_p0_1 * q2_1_p0_1)));
double a20;
a20 = (2 * ((p2_0_p0_0 * q0_0_p0_0) + (p2_1_p0_1 * q0_1_p0_1)));
double a21;
a21 = (2 * ((p2_0_p0_0 * q1_0_p0_0) + (p2_1_p0_1 * q1_1_p0_1)));
double a22;
a22 = (2 * ((p2_0_p0_0 * q2_0_p0_0) + (p2_1_p0_1 * q2_1_p0_1)));
double a30;
a30 = (2 * ((p3_0_p0_0 * q0_0_p0_0) + (p3_1_p0_1 * q0_1_p0_1)));
double a31;
a31 = (2 * ((p3_0_p0_0 * q1_0_p0_0) + (p3_1_p0_1 * q1_1_p0_1)));
double a32;
a32 = (2 * ((p3_0_p0_0 * q2_0_p0_0) + (p3_1_p0_1 * q2_1_p0_1)));
double b00;
b00 = ((a11 * a22) - (a12 * a21));
double b01;
b01 = (a21 - a22);
double b02;
b02 = (a12 - a11);
double b10;
b10 = ((a12 * a20) - (a10 * a22));
double b11;
b11 = (a22 - a20);
double b12;
b12 = (a10 - a12);
double b20;
b20 = ((a10 * a21) - (a11 * a20));
double b21;
b21 = (a20 - a21);
double b22;
b22 = (a11 - a10);
double Delta;
Delta = ((b00 + b10) + b20);
double DeltaLambda0;
DeltaLambda0 = (((b01 * l1) + (b02 * l2)) + b00);
double DeltaLambda1;
DeltaLambda1 = (((b11 * l1) + (b12 * l2)) + b10);
double DeltaLambda2;
DeltaLambda2 = (((b21 * l1) + (b22 * l2)) + b20);
double r;
r = ((Delta * l3) - (((a30 * DeltaLambda0) + (a31 * DeltaLambda1)) + (a32 * DeltaLambda2)));
double eps;
double max1 = fabs(p2_0_p0_0);
if( (max1 < fabs(p2_1_p0_1)) )
{
max1 = fabs(p2_1_p0_1);
}
double max2 = fabs(q0_0_p0_0);
if( (max2 < fabs(q0_1_p0_1)) )
{
max2 = fabs(q0_1_p0_1);
}
if( (max2 < fabs(q1_0_p0_0)) )
{
max2 = fabs(q1_0_p0_0);
}
if( (max2 < fabs(q1_1_p0_1)) )
{
max2 = fabs(q1_1_p0_1);
}
if( (max2 < fabs(q2_0_p0_0)) )
{
max2 = fabs(q2_0_p0_0);
}
if( (max2 < fabs(q2_1_p0_1)) )
{
max2 = fabs(q2_1_p0_1);
}
double max3 = fabs(p1_0_p0_0);
if( (max3 < fabs(p1_1_p0_1)) )
{
max3 = fabs(p1_1_p0_1);
}
double lower_bound_1;
double upper_bound_1;
int Delta_sign;
int int_tmp_result;
lower_bound_1 = max2;
upper_bound_1 = max2;
if( (max1 < lower_bound_1) )
{
lower_bound_1 = max1;
}
else
{
if( (max1 > upper_bound_1) )
{
upper_bound_1 = max1;
}
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (lower_bound_1 < 2.79532528033945620759e-74) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 2.59614842926741294957e+33) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (3.64430756537603111258e-14 * (((max3 * max2) * max1) * max2));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta_sign = int_tmp_result;
double max4 = max2;
if( (max4 < max1) )
{
max4 = max1;
}
if( (max4 < max3) )
{
max4 = max3;
}
double max5 = max2;
if( (max5 < max3) )
{
max5 = max3;
}
double max6 = max2;
if( (max6 < max3) )
{
max6 = max3;
}
if( (max5 < max6) )
{
max5 = max6;
}
double max7 = max3;
if( (max7 < fabs(p3_1_p0_1)) )
{
max7 = fabs(p3_1_p0_1);
}
if( (max7 < fabs(p3_0_p0_0)) )
{
max7 = fabs(p3_0_p0_0);
}
if( (max5 < max7) )
{
max5 = max7;
}
if( (max4 < max5) )
{
max4 = max5;
}
if( (max4 < max6) )
{
max4 = max6;
}
if( (max4 < max7) )
{
max4 = max7;
}
int r_sign;
int int_tmp_result_FFWKCAA;
lower_bound_1 = max2;
upper_bound_1 = max2;
if( (max1 < lower_bound_1) )
{
lower_bound_1 = max1;
}
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
else
{
if( (max4 > upper_bound_1) )
{
upper_bound_1 = max4;
}
}
if( (max5 < lower_bound_1) )
{
lower_bound_1 = max5;
}
if( (max6 < lower_bound_1) )
{
lower_bound_1 = max6;
}
if( (max7 < lower_bound_1) )
{
lower_bound_1 = max7;
}
if( (lower_bound_1 < 6.01986729486167248087e-50) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 2.59614842926741294957e+33) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (4.67544471613800658534e-13 * (((((max7 * max2) * max1) * max6) * max5) * max4));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
r_sign = int_tmp_result_FFWKCAA;
return (Delta_sign * r_sign);
}
inline int side3_3d_filter( const double* p0, const double* p1, const double* p2, const double* p3, const double* q0, const double* q1, const double* q2) {
double p1_0_p0_0 = (p1[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double l1;
l1 = (1 * (((p1_0_p0_0 * p1_0_p0_0) + (p1_1_p0_1 * p1_1_p0_1)) + (p1_2_p0_2 * p1_2_p0_2)));
double p2_0_p0_0 = (p2[0] - p0[0]);
double p2_1_p0_1 = (p2[1] - p0[1]);
double p2_2_p0_2 = (p2[2] - p0[2]);
double l2;
l2 = (1 * (((p2_0_p0_0 * p2_0_p0_0) + (p2_1_p0_1 * p2_1_p0_1)) + (p2_2_p0_2 * p2_2_p0_2)));
double p3_0_p0_0 = (p3[0] - p0[0]);
double p3_1_p0_1 = (p3[1] - p0[1]);
double p3_2_p0_2 = (p3[2] - p0[2]);
double l3;
l3 = (1 * (((p3_0_p0_0 * p3_0_p0_0) + (p3_1_p0_1 * p3_1_p0_1)) + (p3_2_p0_2 * p3_2_p0_2)));
double q0_0_p0_0 = (q0[0] - p0[0]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double a10;
a10 = (2 * (((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)));
double q1_0_p0_0 = (q1[0] - p0[0]);
double q1_1_p0_1 = (q1[1] - p0[1]);
double q1_2_p0_2 = (q1[2] - p0[2]);
double a11;
a11 = (2 * (((p1_0_p0_0 * q1_0_p0_0) + (p1_1_p0_1 * q1_1_p0_1)) + (p1_2_p0_2 * q1_2_p0_2)));
double q2_0_p0_0 = (q2[0] - p0[0]);
double q2_1_p0_1 = (q2[1] - p0[1]);
double q2_2_p0_2 = (q2[2] - p0[2]);
double a12;
a12 = (2 * (((p1_0_p0_0 * q2_0_p0_0) + (p1_1_p0_1 * q2_1_p0_1)) + (p1_2_p0_2 * q2_2_p0_2)));
double a20;
a20 = (2 * (((p2_0_p0_0 * q0_0_p0_0) + (p2_1_p0_1 * q0_1_p0_1)) + (p2_2_p0_2 * q0_2_p0_2)));
double a21;
a21 = (2 * (((p2_0_p0_0 * q1_0_p0_0) + (p2_1_p0_1 * q1_1_p0_1)) + (p2_2_p0_2 * q1_2_p0_2)));
double a22;
a22 = (2 * (((p2_0_p0_0 * q2_0_p0_0) + (p2_1_p0_1 * q2_1_p0_1)) + (p2_2_p0_2 * q2_2_p0_2)));
double a30;
a30 = (2 * (((p3_0_p0_0 * q0_0_p0_0) + (p3_1_p0_1 * q0_1_p0_1)) + (p3_2_p0_2 * q0_2_p0_2)));
double a31;
a31 = (2 * (((p3_0_p0_0 * q1_0_p0_0) + (p3_1_p0_1 * q1_1_p0_1)) + (p3_2_p0_2 * q1_2_p0_2)));
double a32;
a32 = (2 * (((p3_0_p0_0 * q2_0_p0_0) + (p3_1_p0_1 * q2_1_p0_1)) + (p3_2_p0_2 * q2_2_p0_2)));
double b00;
b00 = ((a11 * a22) - (a12 * a21));
double b01;
b01 = (a21 - a22);
double b02;
b02 = (a12 - a11);
double b10;
b10 = ((a12 * a20) - (a10 * a22));
double b11;
b11 = (a22 - a20);
double b12;
b12 = (a10 - a12);
double b20;
b20 = ((a10 * a21) - (a11 * a20));
double b21;
b21 = (a20 - a21);
double b22;
b22 = (a11 - a10);
double Delta;
Delta = ((b00 + b10) + b20);
double DeltaLambda0;
DeltaLambda0 = (((b01 * l1) + (b02 * l2)) + b00);
double DeltaLambda1;
DeltaLambda1 = (((b11 * l1) + (b12 * l2)) + b10);
double DeltaLambda2;
DeltaLambda2 = (((b21 * l1) + (b22 * l2)) + b20);
double r;
r = ((Delta * l3) - (((a30 * DeltaLambda0) + (a31 * DeltaLambda1)) + (a32 * DeltaLambda2)));
double eps;
double max1 = fabs(p1_1_p0_1);
if( (max1 < fabs(p1_2_p0_2)) )
{
max1 = fabs(p1_2_p0_2);
}
if( (max1 < fabs(p1_0_p0_0)) )
{
max1 = fabs(p1_0_p0_0);
}
double max2 = fabs(q0_2_p0_2);
if( (max2 < fabs(q0_0_p0_0)) )
{
max2 = fabs(q0_0_p0_0);
}
if( (max2 < fabs(q0_1_p0_1)) )
{
max2 = fabs(q0_1_p0_1);
}
if( (max2 < fabs(q1_0_p0_0)) )
{
max2 = fabs(q1_0_p0_0);
}
if( (max2 < fabs(q1_1_p0_1)) )
{
max2 = fabs(q1_1_p0_1);
}
if( (max2 < fabs(q1_2_p0_2)) )
{
max2 = fabs(q1_2_p0_2);
}
if( (max2 < fabs(q2_0_p0_0)) )
{
max2 = fabs(q2_0_p0_0);
}
if( (max2 < fabs(q2_1_p0_1)) )
{
max2 = fabs(q2_1_p0_1);
}
if( (max2 < fabs(q2_2_p0_2)) )
{
max2 = fabs(q2_2_p0_2);
}
double max3 = fabs(p2_2_p0_2);
if( (max3 < fabs(p2_0_p0_0)) )
{
max3 = fabs(p2_0_p0_0);
}
if( (max3 < fabs(p2_1_p0_1)) )
{
max3 = fabs(p2_1_p0_1);
}
double lower_bound_1;
double upper_bound_1;
int Delta_sign;
int int_tmp_result;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (lower_bound_1 < 2.22985945097100191780e-74) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 2.59614842926741294957e+33) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (8.99983341597279045654e-14 * (((max1 * max2) * max3) * max2));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta_sign = int_tmp_result;
double max4 = max1;
if( (max4 < max2) )
{
max4 = max2;
}
if( (max4 < max3) )
{
max4 = max3;
}
double max5 = max1;
if( (max5 < max2) )
{
max5 = max2;
}
double max6 = max1;
if( (max6 < fabs(p3_0_p0_0)) )
{
max6 = fabs(p3_0_p0_0);
}
if( (max6 < fabs(p3_1_p0_1)) )
{
max6 = fabs(p3_1_p0_1);
}
if( (max6 < fabs(p3_2_p0_2)) )
{
max6 = fabs(p3_2_p0_2);
}
if( (max5 < max6) )
{
max5 = max6;
}
double max7 = max1;
if( (max7 < max2) )
{
max7 = max2;
}
if( (max5 < max7) )
{
max5 = max7;
}
if( (max4 < max5) )
{
max4 = max5;
}
if( (max4 < max6) )
{
max4 = max6;
}
if( (max4 < max7) )
{
max4 = max7;
}
int r_sign;
int int_tmp_result_FFWKCAA;
lower_bound_1 = max2;
upper_bound_1 = max2;
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
else
{
if( (max4 > upper_bound_1) )
{
upper_bound_1 = max4;
}
}
if( (max5 < lower_bound_1) )
{
lower_bound_1 = max5;
}
if( (max6 < lower_bound_1) )
{
lower_bound_1 = max6;
}
if( (max7 < lower_bound_1) )
{
lower_bound_1 = max7;
}
if( (lower_bound_1 < 4.84416636653081796592e-50) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 2.59614842926741294957e+33) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (1.72198804259438718181e-12 * (((((max6 * max2) * max3) * max7) * max5) * max4));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
r_sign = int_tmp_result_FFWKCAA;
return (Delta_sign * r_sign);
}
inline int side3_4d_filter( const double* p0, const double* p1, const double* p2, const double* p3, const double* q0, const double* q1, const double* q2) {
double p1_0_p0_0 = (p1[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double p1_3_p0_3 = (p1[3] - p0[3]);
double l1;
l1 = (1 * ((((p1_0_p0_0 * p1_0_p0_0) + (p1_1_p0_1 * p1_1_p0_1)) + (p1_2_p0_2 * p1_2_p0_2)) + (p1_3_p0_3 * p1_3_p0_3)));
double p2_0_p0_0 = (p2[0] - p0[0]);
double p2_1_p0_1 = (p2[1] - p0[1]);
double p2_2_p0_2 = (p2[2] - p0[2]);
double p2_3_p0_3 = (p2[3] - p0[3]);
double l2;
l2 = (1 * ((((p2_0_p0_0 * p2_0_p0_0) + (p2_1_p0_1 * p2_1_p0_1)) + (p2_2_p0_2 * p2_2_p0_2)) + (p2_3_p0_3 * p2_3_p0_3)));
double p3_0_p0_0 = (p3[0] - p0[0]);
double p3_1_p0_1 = (p3[1] - p0[1]);
double p3_2_p0_2 = (p3[2] - p0[2]);
double p3_3_p0_3 = (p3[3] - p0[3]);
double l3;
l3 = (1 * ((((p3_0_p0_0 * p3_0_p0_0) + (p3_1_p0_1 * p3_1_p0_1)) + (p3_2_p0_2 * p3_2_p0_2)) + (p3_3_p0_3 * p3_3_p0_3)));
double q0_0_p0_0 = (q0[0] - p0[0]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double q0_3_p0_3 = (q0[3] - p0[3]);
double a10;
a10 = (2 * ((((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)) + (p1_3_p0_3 * q0_3_p0_3)));
double q1_0_p0_0 = (q1[0] - p0[0]);
double q1_1_p0_1 = (q1[1] - p0[1]);
double q1_2_p0_2 = (q1[2] - p0[2]);
double q1_3_p0_3 = (q1[3] - p0[3]);
double a11;
a11 = (2 * ((((p1_0_p0_0 * q1_0_p0_0) + (p1_1_p0_1 * q1_1_p0_1)) + (p1_2_p0_2 * q1_2_p0_2)) + (p1_3_p0_3 * q1_3_p0_3)));
double q2_0_p0_0 = (q2[0] - p0[0]);
double q2_1_p0_1 = (q2[1] - p0[1]);
double q2_2_p0_2 = (q2[2] - p0[2]);
double q2_3_p0_3 = (q2[3] - p0[3]);
double a12;
a12 = (2 * ((((p1_0_p0_0 * q2_0_p0_0) + (p1_1_p0_1 * q2_1_p0_1)) + (p1_2_p0_2 * q2_2_p0_2)) + (p1_3_p0_3 * q2_3_p0_3)));
double a20;
a20 = (2 * ((((p2_0_p0_0 * q0_0_p0_0) + (p2_1_p0_1 * q0_1_p0_1)) + (p2_2_p0_2 * q0_2_p0_2)) + (p2_3_p0_3 * q0_3_p0_3)));
double a21;
a21 = (2 * ((((p2_0_p0_0 * q1_0_p0_0) + (p2_1_p0_1 * q1_1_p0_1)) + (p2_2_p0_2 * q1_2_p0_2)) + (p2_3_p0_3 * q1_3_p0_3)));
double a22;
a22 = (2 * ((((p2_0_p0_0 * q2_0_p0_0) + (p2_1_p0_1 * q2_1_p0_1)) + (p2_2_p0_2 * q2_2_p0_2)) + (p2_3_p0_3 * q2_3_p0_3)));
double a30;
a30 = (2 * ((((p3_0_p0_0 * q0_0_p0_0) + (p3_1_p0_1 * q0_1_p0_1)) + (p3_2_p0_2 * q0_2_p0_2)) + (p3_3_p0_3 * q0_3_p0_3)));
double a31;
a31 = (2 * ((((p3_0_p0_0 * q1_0_p0_0) + (p3_1_p0_1 * q1_1_p0_1)) + (p3_2_p0_2 * q1_2_p0_2)) + (p3_3_p0_3 * q1_3_p0_3)));
double a32;
a32 = (2 * ((((p3_0_p0_0 * q2_0_p0_0) + (p3_1_p0_1 * q2_1_p0_1)) + (p3_2_p0_2 * q2_2_p0_2)) + (p3_3_p0_3 * q2_3_p0_3)));
double b00;
b00 = ((a11 * a22) - (a12 * a21));
double b01;
b01 = (a21 - a22);
double b02;
b02 = (a12 - a11);
double b10;
b10 = ((a12 * a20) - (a10 * a22));
double b11;
b11 = (a22 - a20);
double b12;
b12 = (a10 - a12);
double b20;
b20 = ((a10 * a21) - (a11 * a20));
double b21;
b21 = (a20 - a21);
double b22;
b22 = (a11 - a10);
double Delta;
Delta = ((b00 + b10) + b20);
double DeltaLambda0;
DeltaLambda0 = (((b01 * l1) + (b02 * l2)) + b00);
double DeltaLambda1;
DeltaLambda1 = (((b11 * l1) + (b12 * l2)) + b10);
double DeltaLambda2;
DeltaLambda2 = (((b21 * l1) + (b22 * l2)) + b20);
double r;
r = ((Delta * l3) - (((a30 * DeltaLambda0) + (a31 * DeltaLambda1)) + (a32 * DeltaLambda2)));
double eps;
double max1 = fabs(p1_3_p0_3);
if( (max1 < fabs(p1_1_p0_1)) )
{
max1 = fabs(p1_1_p0_1);
}
if( (max1 < fabs(p1_2_p0_2)) )
{
max1 = fabs(p1_2_p0_2);
}
if( (max1 < fabs(p1_0_p0_0)) )
{
max1 = fabs(p1_0_p0_0);
}
double max2 = fabs(p2_3_p0_3);
if( (max2 < fabs(p2_2_p0_2)) )
{
max2 = fabs(p2_2_p0_2);
}
if( (max2 < fabs(p2_0_p0_0)) )
{
max2 = fabs(p2_0_p0_0);
}
if( (max2 < fabs(p2_1_p0_1)) )
{
max2 = fabs(p2_1_p0_1);
}
double max3 = fabs(q0_1_p0_1);
if( (max3 < fabs(q0_0_p0_0)) )
{
max3 = fabs(q0_0_p0_0);
}
if( (max3 < fabs(q0_2_p0_2)) )
{
max3 = fabs(q0_2_p0_2);
}
if( (max3 < fabs(q0_3_p0_3)) )
{
max3 = fabs(q0_3_p0_3);
}
if( (max3 < fabs(q1_0_p0_0)) )
{
max3 = fabs(q1_0_p0_0);
}
if( (max3 < fabs(q1_1_p0_1)) )
{
max3 = fabs(q1_1_p0_1);
}
if( (max3 < fabs(q1_2_p0_2)) )
{
max3 = fabs(q1_2_p0_2);
}
if( (max3 < fabs(q1_3_p0_3)) )
{
max3 = fabs(q1_3_p0_3);
}
if( (max3 < fabs(q2_0_p0_0)) )
{
max3 = fabs(q2_0_p0_0);
}
if( (max3 < fabs(q2_1_p0_1)) )
{
max3 = fabs(q2_1_p0_1);
}
if( (max3 < fabs(q2_2_p0_2)) )
{
max3 = fabs(q2_2_p0_2);
}
if( (max3 < fabs(q2_3_p0_3)) )
{
max3 = fabs(q2_3_p0_3);
}
double lower_bound_1;
double upper_bound_1;
int Delta_sign;
int int_tmp_result;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (lower_bound_1 < 1.89528395402941802921e-74) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.29807421463370647479e+33) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (1.72443682410931985179e-13 * (((max1 * max3) * max2) * max3));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta_sign = int_tmp_result;
double max4 = max1;
double max5 = max1;
double max6 = max1;
if( (max6 < fabs(p3_0_p0_0)) )
{
max6 = fabs(p3_0_p0_0);
}
if( (max6 < fabs(p3_3_p0_3)) )
{
max6 = fabs(p3_3_p0_3);
}
if( (max6 < fabs(p3_2_p0_2)) )
{
max6 = fabs(p3_2_p0_2);
}
if( (max6 < fabs(p3_1_p0_1)) )
{
max6 = fabs(p3_1_p0_1);
}
if( (max5 < max6) )
{
max5 = max6;
}
if( (max5 < max3) )
{
max5 = max3;
}
double max7 = max1;
if( (max7 < max3) )
{
max7 = max3;
}
if( (max5 < max7) )
{
max5 = max7;
}
if( (max4 < max5) )
{
max4 = max5;
}
if( (max4 < max6) )
{
max4 = max6;
}
if( (max4 < max2) )
{
max4 = max2;
}
if( (max4 < max3) )
{
max4 = max3;
}
if( (max4 < max7) )
{
max4 = max7;
}
int r_sign;
int int_tmp_result_FFWKCAA;
lower_bound_1 = max5;
upper_bound_1 = max5;
if( (max6 < lower_bound_1) )
{
lower_bound_1 = max6;
}
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
else
{
if( (max4 > upper_bound_1) )
{
upper_bound_1 = max4;
}
}
if( (max7 < lower_bound_1) )
{
lower_bound_1 = max7;
}
if( (lower_bound_1 < 4.14607644401726239868e-50) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.29807421463370647479e+33) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (4.38046888801178809320e-12 * (((((max6 * max3) * max2) * max7) * max5) * max4));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
r_sign = int_tmp_result_FFWKCAA;
return (Delta_sign * r_sign);
}
inline int side3_6d_filter( const double* p0, const double* p1, const double* p2, const double* p3, const double* q0, const double* q1, const double* q2) {
double p1_0_p0_0 = (p1[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double p1_3_p0_3 = (p1[3] - p0[3]);
double p1_4_p0_4 = (p1[4] - p0[4]);
double p1_5_p0_5 = (p1[5] - p0[5]);
double l1;
l1 = (1 * ((((((p1_0_p0_0 * p1_0_p0_0) + (p1_1_p0_1 * p1_1_p0_1)) + (p1_2_p0_2 * p1_2_p0_2)) + (p1_3_p0_3 * p1_3_p0_3)) + (p1_4_p0_4 * p1_4_p0_4)) + (p1_5_p0_5 * p1_5_p0_5)));
double p2_0_p0_0 = (p2[0] - p0[0]);
double p2_1_p0_1 = (p2[1] - p0[1]);
double p2_2_p0_2 = (p2[2] - p0[2]);
double p2_3_p0_3 = (p2[3] - p0[3]);
double p2_4_p0_4 = (p2[4] - p0[4]);
double p2_5_p0_5 = (p2[5] - p0[5]);
double l2;
l2 = (1 * ((((((p2_0_p0_0 * p2_0_p0_0) + (p2_1_p0_1 * p2_1_p0_1)) + (p2_2_p0_2 * p2_2_p0_2)) + (p2_3_p0_3 * p2_3_p0_3)) + (p2_4_p0_4 * p2_4_p0_4)) + (p2_5_p0_5 * p2_5_p0_5)));
double p3_0_p0_0 = (p3[0] - p0[0]);
double p3_1_p0_1 = (p3[1] - p0[1]);
double p3_2_p0_2 = (p3[2] - p0[2]);
double p3_3_p0_3 = (p3[3] - p0[3]);
double p3_4_p0_4 = (p3[4] - p0[4]);
double p3_5_p0_5 = (p3[5] - p0[5]);
double l3;
l3 = (1 * ((((((p3_0_p0_0 * p3_0_p0_0) + (p3_1_p0_1 * p3_1_p0_1)) + (p3_2_p0_2 * p3_2_p0_2)) + (p3_3_p0_3 * p3_3_p0_3)) + (p3_4_p0_4 * p3_4_p0_4)) + (p3_5_p0_5 * p3_5_p0_5)));
double q0_0_p0_0 = (q0[0] - p0[0]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double q0_3_p0_3 = (q0[3] - p0[3]);
double q0_4_p0_4 = (q0[4] - p0[4]);
double q0_5_p0_5 = (q0[5] - p0[5]);
double a10;
a10 = (2 * ((((((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)) + (p1_3_p0_3 * q0_3_p0_3)) + (p1_4_p0_4 * q0_4_p0_4)) + (p1_5_p0_5 * q0_5_p0_5)));
double q1_0_p0_0 = (q1[0] - p0[0]);
double q1_1_p0_1 = (q1[1] - p0[1]);
double q1_2_p0_2 = (q1[2] - p0[2]);
double q1_3_p0_3 = (q1[3] - p0[3]);
double q1_4_p0_4 = (q1[4] - p0[4]);
double q1_5_p0_5 = (q1[5] - p0[5]);
double a11;
a11 = (2 * ((((((p1_0_p0_0 * q1_0_p0_0) + (p1_1_p0_1 * q1_1_p0_1)) + (p1_2_p0_2 * q1_2_p0_2)) + (p1_3_p0_3 * q1_3_p0_3)) + (p1_4_p0_4 * q1_4_p0_4)) + (p1_5_p0_5 * q1_5_p0_5)));
double q2_0_p0_0 = (q2[0] - p0[0]);
double q2_1_p0_1 = (q2[1] - p0[1]);
double q2_2_p0_2 = (q2[2] - p0[2]);
double q2_3_p0_3 = (q2[3] - p0[3]);
double q2_4_p0_4 = (q2[4] - p0[4]);
double q2_5_p0_5 = (q2[5] - p0[5]);
double a12;
a12 = (2 * ((((((p1_0_p0_0 * q2_0_p0_0) + (p1_1_p0_1 * q2_1_p0_1)) + (p1_2_p0_2 * q2_2_p0_2)) + (p1_3_p0_3 * q2_3_p0_3)) + (p1_4_p0_4 * q2_4_p0_4)) + (p1_5_p0_5 * q2_5_p0_5)));
double a20;
a20 = (2 * ((((((p2_0_p0_0 * q0_0_p0_0) + (p2_1_p0_1 * q0_1_p0_1)) + (p2_2_p0_2 * q0_2_p0_2)) + (p2_3_p0_3 * q0_3_p0_3)) + (p2_4_p0_4 * q0_4_p0_4)) + (p2_5_p0_5 * q0_5_p0_5)));
double a21;
a21 = (2 * ((((((p2_0_p0_0 * q1_0_p0_0) + (p2_1_p0_1 * q1_1_p0_1)) + (p2_2_p0_2 * q1_2_p0_2)) + (p2_3_p0_3 * q1_3_p0_3)) + (p2_4_p0_4 * q1_4_p0_4)) + (p2_5_p0_5 * q1_5_p0_5)));
double a22;
a22 = (2 * ((((((p2_0_p0_0 * q2_0_p0_0) + (p2_1_p0_1 * q2_1_p0_1)) + (p2_2_p0_2 * q2_2_p0_2)) + (p2_3_p0_3 * q2_3_p0_3)) + (p2_4_p0_4 * q2_4_p0_4)) + (p2_5_p0_5 * q2_5_p0_5)));
double a30;
a30 = (2 * ((((((p3_0_p0_0 * q0_0_p0_0) + (p3_1_p0_1 * q0_1_p0_1)) + (p3_2_p0_2 * q0_2_p0_2)) + (p3_3_p0_3 * q0_3_p0_3)) + (p3_4_p0_4 * q0_4_p0_4)) + (p3_5_p0_5 * q0_5_p0_5)));
double a31;
a31 = (2 * ((((((p3_0_p0_0 * q1_0_p0_0) + (p3_1_p0_1 * q1_1_p0_1)) + (p3_2_p0_2 * q1_2_p0_2)) + (p3_3_p0_3 * q1_3_p0_3)) + (p3_4_p0_4 * q1_4_p0_4)) + (p3_5_p0_5 * q1_5_p0_5)));
double a32;
a32 = (2 * ((((((p3_0_p0_0 * q2_0_p0_0) + (p3_1_p0_1 * q2_1_p0_1)) + (p3_2_p0_2 * q2_2_p0_2)) + (p3_3_p0_3 * q2_3_p0_3)) + (p3_4_p0_4 * q2_4_p0_4)) + (p3_5_p0_5 * q2_5_p0_5)));
double b00;
b00 = ((a11 * a22) - (a12 * a21));
double b01;
b01 = (a21 - a22);
double b02;
b02 = (a12 - a11);
double b10;
b10 = ((a12 * a20) - (a10 * a22));
double b11;
b11 = (a22 - a20);
double b12;
b12 = (a10 - a12);
double b20;
b20 = ((a10 * a21) - (a11 * a20));
double b21;
b21 = (a20 - a21);
double b22;
b22 = (a11 - a10);
double Delta;
Delta = ((b00 + b10) + b20);
double DeltaLambda0;
DeltaLambda0 = (((b01 * l1) + (b02 * l2)) + b00);
double DeltaLambda1;
DeltaLambda1 = (((b11 * l1) + (b12 * l2)) + b10);
double DeltaLambda2;
DeltaLambda2 = (((b21 * l1) + (b22 * l2)) + b20);
double r;
r = ((Delta * l3) - (((a30 * DeltaLambda0) + (a31 * DeltaLambda1)) + (a32 * DeltaLambda2)));
double eps;
double max1 = fabs(p1_0_p0_0);
if( (max1 < fabs(p1_2_p0_2)) )
{
max1 = fabs(p1_2_p0_2);
}
if( (max1 < fabs(p1_1_p0_1)) )
{
max1 = fabs(p1_1_p0_1);
}
if( (max1 < fabs(p1_3_p0_3)) )
{
max1 = fabs(p1_3_p0_3);
}
if( (max1 < fabs(p1_4_p0_4)) )
{
max1 = fabs(p1_4_p0_4);
}
if( (max1 < fabs(p1_5_p0_5)) )
{
max1 = fabs(p1_5_p0_5);
}
double max2 = fabs(p2_0_p0_0);
if( (max2 < fabs(p2_1_p0_1)) )
{
max2 = fabs(p2_1_p0_1);
}
if( (max2 < fabs(p2_2_p0_2)) )
{
max2 = fabs(p2_2_p0_2);
}
if( (max2 < fabs(p2_3_p0_3)) )
{
max2 = fabs(p2_3_p0_3);
}
if( (max2 < fabs(p2_4_p0_4)) )
{
max2 = fabs(p2_4_p0_4);
}
if( (max2 < fabs(p2_5_p0_5)) )
{
max2 = fabs(p2_5_p0_5);
}
double max3 = fabs(q0_0_p0_0);
if( (max3 < fabs(q0_1_p0_1)) )
{
max3 = fabs(q0_1_p0_1);
}
if( (max3 < fabs(q0_2_p0_2)) )
{
max3 = fabs(q0_2_p0_2);
}
if( (max3 < fabs(q0_3_p0_3)) )
{
max3 = fabs(q0_3_p0_3);
}
if( (max3 < fabs(q0_4_p0_4)) )
{
max3 = fabs(q0_4_p0_4);
}
if( (max3 < fabs(q0_5_p0_5)) )
{
max3 = fabs(q0_5_p0_5);
}
if( (max3 < fabs(q1_0_p0_0)) )
{
max3 = fabs(q1_0_p0_0);
}
if( (max3 < fabs(q1_1_p0_1)) )
{
max3 = fabs(q1_1_p0_1);
}
if( (max3 < fabs(q1_2_p0_2)) )
{
max3 = fabs(q1_2_p0_2);
}
if( (max3 < fabs(q1_3_p0_3)) )
{
max3 = fabs(q1_3_p0_3);
}
if( (max3 < fabs(q1_4_p0_4)) )
{
max3 = fabs(q1_4_p0_4);
}
if( (max3 < fabs(q1_5_p0_5)) )
{
max3 = fabs(q1_5_p0_5);
}
if( (max3 < fabs(q2_0_p0_0)) )
{
max3 = fabs(q2_0_p0_0);
}
if( (max3 < fabs(q2_1_p0_1)) )
{
max3 = fabs(q2_1_p0_1);
}
if( (max3 < fabs(q2_2_p0_2)) )
{
max3 = fabs(q2_2_p0_2);
}
if( (max3 < fabs(q2_3_p0_3)) )
{
max3 = fabs(q2_3_p0_3);
}
if( (max3 < fabs(q2_4_p0_4)) )
{
max3 = fabs(q2_4_p0_4);
}
if( (max3 < fabs(q2_5_p0_5)) )
{
max3 = fabs(q2_5_p0_5);
}
double lower_bound_1;
double upper_bound_1;
int Delta_sign;
int int_tmp_result;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (lower_bound_1 < 1.49958502193059513986e-74) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.29807421463370647479e+33) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (4.40007476026583916019e-13 * (((max1 * max3) * max2) * max3));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta_sign = int_tmp_result;
double max4 = max1;
if( (max4 < max2) )
{
max4 = max2;
}
if( (max4 < max3) )
{
max4 = max3;
}
double max5 = max1;
if( (max5 < fabs(p3_1_p0_1)) )
{
max5 = fabs(p3_1_p0_1);
}
if( (max5 < fabs(p3_2_p0_2)) )
{
max5 = fabs(p3_2_p0_2);
}
if( (max5 < fabs(p3_0_p0_0)) )
{
max5 = fabs(p3_0_p0_0);
}
if( (max5 < fabs(p3_3_p0_3)) )
{
max5 = fabs(p3_3_p0_3);
}
if( (max5 < fabs(p3_4_p0_4)) )
{
max5 = fabs(p3_4_p0_4);
}
if( (max5 < fabs(p3_5_p0_5)) )
{
max5 = fabs(p3_5_p0_5);
}
if( (max4 < max5) )
{
max4 = max5;
}
double max6 = max1;
if( (max6 < max3) )
{
max6 = max3;
}
if( (max6 < max5) )
{
max6 = max5;
}
double max7 = max1;
if( (max7 < max3) )
{
max7 = max3;
}
if( (max6 < max7) )
{
max6 = max7;
}
if( (max4 < max6) )
{
max4 = max6;
}
if( (max4 < max7) )
{
max4 = max7;
}
int r_sign;
int int_tmp_result_FFWKCAA;
lower_bound_1 = max2;
upper_bound_1 = max2;
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
else
{
if( (max4 > upper_bound_1) )
{
upper_bound_1 = max4;
}
}
if( (max5 < lower_bound_1) )
{
lower_bound_1 = max5;
}
if( (max6 < lower_bound_1) )
{
lower_bound_1 = max6;
}
if( (max7 < lower_bound_1) )
{
lower_bound_1 = max7;
}
if( (lower_bound_1 < 3.31864264949884013629e-50) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.29807421463370647479e+33) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (1.66564133587113197628e-11 * (((((max5 * max3) * max2) * max7) * max6) * max4));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
r_sign = int_tmp_result_FFWKCAA;
return (Delta_sign * r_sign);
}
inline int side3_7d_filter( const double* p0, const double* p1, const double* p2, const double* p3, const double* q0, const double* q1, const double* q2) {
double p1_0_p0_0 = (p1[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double p1_3_p0_3 = (p1[3] - p0[3]);
double p1_4_p0_4 = (p1[4] - p0[4]);
double p1_5_p0_5 = (p1[5] - p0[5]);
double p1_6_p0_6 = (p1[6] - p0[6]);
double l1;
l1 = (1 * (((((((p1_0_p0_0 * p1_0_p0_0) + (p1_1_p0_1 * p1_1_p0_1)) + (p1_2_p0_2 * p1_2_p0_2)) + (p1_3_p0_3 * p1_3_p0_3)) + (p1_4_p0_4 * p1_4_p0_4)) + (p1_5_p0_5 * p1_5_p0_5)) + (p1_6_p0_6 * p1_6_p0_6)));
double p2_0_p0_0 = (p2[0] - p0[0]);
double p2_1_p0_1 = (p2[1] - p0[1]);
double p2_2_p0_2 = (p2[2] - p0[2]);
double p2_3_p0_3 = (p2[3] - p0[3]);
double p2_4_p0_4 = (p2[4] - p0[4]);
double p2_5_p0_5 = (p2[5] - p0[5]);
double p2_6_p0_6 = (p2[6] - p0[6]);
double l2;
l2 = (1 * (((((((p2_0_p0_0 * p2_0_p0_0) + (p2_1_p0_1 * p2_1_p0_1)) + (p2_2_p0_2 * p2_2_p0_2)) + (p2_3_p0_3 * p2_3_p0_3)) + (p2_4_p0_4 * p2_4_p0_4)) + (p2_5_p0_5 * p2_5_p0_5)) + (p2_6_p0_6 * p2_6_p0_6)));
double p3_0_p0_0 = (p3[0] - p0[0]);
double p3_1_p0_1 = (p3[1] - p0[1]);
double p3_2_p0_2 = (p3[2] - p0[2]);
double p3_3_p0_3 = (p3[3] - p0[3]);
double p3_4_p0_4 = (p3[4] - p0[4]);
double p3_5_p0_5 = (p3[5] - p0[5]);
double p3_6_p0_6 = (p3[6] - p0[6]);
double l3;
l3 = (1 * (((((((p3_0_p0_0 * p3_0_p0_0) + (p3_1_p0_1 * p3_1_p0_1)) + (p3_2_p0_2 * p3_2_p0_2)) + (p3_3_p0_3 * p3_3_p0_3)) + (p3_4_p0_4 * p3_4_p0_4)) + (p3_5_p0_5 * p3_5_p0_5)) + (p3_6_p0_6 * p3_6_p0_6)));
double q0_0_p0_0 = (q0[0] - p0[0]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double q0_3_p0_3 = (q0[3] - p0[3]);
double q0_4_p0_4 = (q0[4] - p0[4]);
double q0_5_p0_5 = (q0[5] - p0[5]);
double q0_6_p0_6 = (q0[6] - p0[6]);
double a10;
a10 = (2 * (((((((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)) + (p1_3_p0_3 * q0_3_p0_3)) + (p1_4_p0_4 * q0_4_p0_4)) + (p1_5_p0_5 * q0_5_p0_5)) + (p1_6_p0_6 * q0_6_p0_6)));
double q1_0_p0_0 = (q1[0] - p0[0]);
double q1_1_p0_1 = (q1[1] - p0[1]);
double q1_2_p0_2 = (q1[2] - p0[2]);
double q1_3_p0_3 = (q1[3] - p0[3]);
double q1_4_p0_4 = (q1[4] - p0[4]);
double q1_5_p0_5 = (q1[5] - p0[5]);
double q1_6_p0_6 = (q1[6] - p0[6]);
double a11;
a11 = (2 * (((((((p1_0_p0_0 * q1_0_p0_0) + (p1_1_p0_1 * q1_1_p0_1)) + (p1_2_p0_2 * q1_2_p0_2)) + (p1_3_p0_3 * q1_3_p0_3)) + (p1_4_p0_4 * q1_4_p0_4)) + (p1_5_p0_5 * q1_5_p0_5)) + (p1_6_p0_6 * q1_6_p0_6)));
double q2_0_p0_0 = (q2[0] - p0[0]);
double q2_1_p0_1 = (q2[1] - p0[1]);
double q2_2_p0_2 = (q2[2] - p0[2]);
double q2_3_p0_3 = (q2[3] - p0[3]);
double q2_4_p0_4 = (q2[4] - p0[4]);
double q2_5_p0_5 = (q2[5] - p0[5]);
double q2_6_p0_6 = (q2[6] - p0[6]);
double a12;
a12 = (2 * (((((((p1_0_p0_0 * q2_0_p0_0) + (p1_1_p0_1 * q2_1_p0_1)) + (p1_2_p0_2 * q2_2_p0_2)) + (p1_3_p0_3 * q2_3_p0_3)) + (p1_4_p0_4 * q2_4_p0_4)) + (p1_5_p0_5 * q2_5_p0_5)) + (p1_6_p0_6 * q2_6_p0_6)));
double a20;
a20 = (2 * (((((((p2_0_p0_0 * q0_0_p0_0) + (p2_1_p0_1 * q0_1_p0_1)) + (p2_2_p0_2 * q0_2_p0_2)) + (p2_3_p0_3 * q0_3_p0_3)) + (p2_4_p0_4 * q0_4_p0_4)) + (p2_5_p0_5 * q0_5_p0_5)) + (p2_6_p0_6 * q0_6_p0_6)));
double a21;
a21 = (2 * (((((((p2_0_p0_0 * q1_0_p0_0) + (p2_1_p0_1 * q1_1_p0_1)) + (p2_2_p0_2 * q1_2_p0_2)) + (p2_3_p0_3 * q1_3_p0_3)) + (p2_4_p0_4 * q1_4_p0_4)) + (p2_5_p0_5 * q1_5_p0_5)) + (p2_6_p0_6 * q1_6_p0_6)));
double a22;
a22 = (2 * (((((((p2_0_p0_0 * q2_0_p0_0) + (p2_1_p0_1 * q2_1_p0_1)) + (p2_2_p0_2 * q2_2_p0_2)) + (p2_3_p0_3 * q2_3_p0_3)) + (p2_4_p0_4 * q2_4_p0_4)) + (p2_5_p0_5 * q2_5_p0_5)) + (p2_6_p0_6 * q2_6_p0_6)));
double a30;
a30 = (2 * (((((((p3_0_p0_0 * q0_0_p0_0) + (p3_1_p0_1 * q0_1_p0_1)) + (p3_2_p0_2 * q0_2_p0_2)) + (p3_3_p0_3 * q0_3_p0_3)) + (p3_4_p0_4 * q0_4_p0_4)) + (p3_5_p0_5 * q0_5_p0_5)) + (p3_6_p0_6 * q0_6_p0_6)));
double a31;
a31 = (2 * (((((((p3_0_p0_0 * q1_0_p0_0) + (p3_1_p0_1 * q1_1_p0_1)) + (p3_2_p0_2 * q1_2_p0_2)) + (p3_3_p0_3 * q1_3_p0_3)) + (p3_4_p0_4 * q1_4_p0_4)) + (p3_5_p0_5 * q1_5_p0_5)) + (p3_6_p0_6 * q1_6_p0_6)));
double a32;
a32 = (2 * (((((((p3_0_p0_0 * q2_0_p0_0) + (p3_1_p0_1 * q2_1_p0_1)) + (p3_2_p0_2 * q2_2_p0_2)) + (p3_3_p0_3 * q2_3_p0_3)) + (p3_4_p0_4 * q2_4_p0_4)) + (p3_5_p0_5 * q2_5_p0_5)) + (p3_6_p0_6 * q2_6_p0_6)));
double b00;
b00 = ((a11 * a22) - (a12 * a21));
double b01;
b01 = (a21 - a22);
double b02;
b02 = (a12 - a11);
double b10;
b10 = ((a12 * a20) - (a10 * a22));
double b11;
b11 = (a22 - a20);
double b12;
b12 = (a10 - a12);
double b20;
b20 = ((a10 * a21) - (a11 * a20));
double b21;
b21 = (a20 - a21);
double b22;
b22 = (a11 - a10);
double Delta;
Delta = ((b00 + b10) + b20);
double DeltaLambda0;
DeltaLambda0 = (((b01 * l1) + (b02 * l2)) + b00);
double DeltaLambda1;
DeltaLambda1 = (((b11 * l1) + (b12 * l2)) + b10);
double DeltaLambda2;
DeltaLambda2 = (((b21 * l1) + (b22 * l2)) + b20);
double r;
r = ((Delta * l3) - (((a30 * DeltaLambda0) + (a31 * DeltaLambda1)) + (a32 * DeltaLambda2)));
double eps;
double max1 = fabs(p1_1_p0_1);
if( (max1 < fabs(p1_3_p0_3)) )
{
max1 = fabs(p1_3_p0_3);
}
if( (max1 < fabs(p1_5_p0_5)) )
{
max1 = fabs(p1_5_p0_5);
}
if( (max1 < fabs(p1_4_p0_4)) )
{
max1 = fabs(p1_4_p0_4);
}
if( (max1 < fabs(p1_6_p0_6)) )
{
max1 = fabs(p1_6_p0_6);
}
if( (max1 < fabs(p1_2_p0_2)) )
{
max1 = fabs(p1_2_p0_2);
}
if( (max1 < fabs(p1_0_p0_0)) )
{
max1 = fabs(p1_0_p0_0);
}
double max2 = fabs(p2_0_p0_0);
if( (max2 < fabs(p2_1_p0_1)) )
{
max2 = fabs(p2_1_p0_1);
}
if( (max2 < fabs(p2_2_p0_2)) )
{
max2 = fabs(p2_2_p0_2);
}
if( (max2 < fabs(p2_3_p0_3)) )
{
max2 = fabs(p2_3_p0_3);
}
if( (max2 < fabs(p2_4_p0_4)) )
{
max2 = fabs(p2_4_p0_4);
}
if( (max2 < fabs(p2_5_p0_5)) )
{
max2 = fabs(p2_5_p0_5);
}
if( (max2 < fabs(p2_6_p0_6)) )
{
max2 = fabs(p2_6_p0_6);
}
double max3 = fabs(q0_0_p0_0);
if( (max3 < fabs(q0_1_p0_1)) )
{
max3 = fabs(q0_1_p0_1);
}
if( (max3 < fabs(q0_2_p0_2)) )
{
max3 = fabs(q0_2_p0_2);
}
if( (max3 < fabs(q0_3_p0_3)) )
{
max3 = fabs(q0_3_p0_3);
}
if( (max3 < fabs(q0_4_p0_4)) )
{
max3 = fabs(q0_4_p0_4);
}
if( (max3 < fabs(q0_5_p0_5)) )
{
max3 = fabs(q0_5_p0_5);
}
if( (max3 < fabs(q0_6_p0_6)) )
{
max3 = fabs(q0_6_p0_6);
}
if( (max3 < fabs(q1_0_p0_0)) )
{
max3 = fabs(q1_0_p0_0);
}
if( (max3 < fabs(q1_1_p0_1)) )
{
max3 = fabs(q1_1_p0_1);
}
if( (max3 < fabs(q1_2_p0_2)) )
{
max3 = fabs(q1_2_p0_2);
}
if( (max3 < fabs(q1_3_p0_3)) )
{
max3 = fabs(q1_3_p0_3);
}
if( (max3 < fabs(q1_4_p0_4)) )
{
max3 = fabs(q1_4_p0_4);
}
if( (max3 < fabs(q1_5_p0_5)) )
{
max3 = fabs(q1_5_p0_5);
}
if( (max3 < fabs(q1_6_p0_6)) )
{
max3 = fabs(q1_6_p0_6);
}
if( (max3 < fabs(q2_0_p0_0)) )
{
max3 = fabs(q2_0_p0_0);
}
if( (max3 < fabs(q2_1_p0_1)) )
{
max3 = fabs(q2_1_p0_1);
}
if( (max3 < fabs(q2_2_p0_2)) )
{
max3 = fabs(q2_2_p0_2);
}
if( (max3 < fabs(q2_3_p0_3)) )
{
max3 = fabs(q2_3_p0_3);
}
if( (max3 < fabs(q2_4_p0_4)) )
{
max3 = fabs(q2_4_p0_4);
}
if( (max3 < fabs(q2_5_p0_5)) )
{
max3 = fabs(q2_5_p0_5);
}
if( (max3 < fabs(q2_6_p0_6)) )
{
max3 = fabs(q2_6_p0_6);
}
double lower_bound_1;
double upper_bound_1;
int Delta_sign;
int int_tmp_result;
lower_bound_1 = max2;
upper_bound_1 = max2;
if( (max1 < lower_bound_1) )
{
lower_bound_1 = max1;
}
else
{
if( (max1 > upper_bound_1) )
{
upper_bound_1 = max1;
}
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (lower_bound_1 < 1.36918881183883509035e-74) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.29807421463370647479e+33) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (6.33127335329798996022e-13 * (((max1 * max3) * max2) * max3));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta_sign = int_tmp_result;
double max4;
double max7 = max1;
if( (max7 < max3) )
{
max7 = max3;
}
max4 = max7;
if( (max4 < max2) )
{
max4 = max2;
}
double max5 = max1;
if( (max5 < fabs(p3_0_p0_0)) )
{
max5 = fabs(p3_0_p0_0);
}
if( (max5 < fabs(p3_1_p0_1)) )
{
max5 = fabs(p3_1_p0_1);
}
if( (max5 < fabs(p3_2_p0_2)) )
{
max5 = fabs(p3_2_p0_2);
}
if( (max5 < fabs(p3_3_p0_3)) )
{
max5 = fabs(p3_3_p0_3);
}
if( (max5 < fabs(p3_4_p0_4)) )
{
max5 = fabs(p3_4_p0_4);
}
if( (max5 < fabs(p3_5_p0_5)) )
{
max5 = fabs(p3_5_p0_5);
}
if( (max5 < fabs(p3_6_p0_6)) )
{
max5 = fabs(p3_6_p0_6);
}
if( (max4 < max5) )
{
max4 = max5;
}
if( (max4 < max1) )
{
max4 = max1;
}
if( (max4 < max3) )
{
max4 = max3;
}
double max6 = max7;
if( (max6 < max5) )
{
max6 = max5;
}
if( (max6 < max1) )
{
max6 = max1;
}
if( (max6 < max3) )
{
max6 = max3;
}
if( (max4 < max6) )
{
max4 = max6;
}
int r_sign;
int int_tmp_result_FFWKCAA;
lower_bound_1 = max7;
upper_bound_1 = max7;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
if( (max5 < lower_bound_1) )
{
lower_bound_1 = max5;
}
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
else
{
if( (max4 > upper_bound_1) )
{
upper_bound_1 = max4;
}
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
if( (max6 < lower_bound_1) )
{
lower_bound_1 = max6;
}
if( (lower_bound_1 < 3.04548303565602498901e-50) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.29807421463370647479e+33) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (2.78873548804336160566e-11 * (((((max5 * max3) * max2) * max7) * max6) * max4));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
r_sign = int_tmp_result_FFWKCAA;
return (Delta_sign * r_sign);
}
inline int side3_8d_filter( const double* p0, const double* p1, const double* p2, const double* p3, const double* q0, const double* q1, const double* q2) {
double p1_0_p0_0 = (p1[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double p1_3_p0_3 = (p1[3] - p0[3]);
double p1_4_p0_4 = (p1[4] - p0[4]);
double p1_5_p0_5 = (p1[5] - p0[5]);
double p1_6_p0_6 = (p1[6] - p0[6]);
double p1_7_p0_7 = (p1[7] - p0[7]);
double l1;
l1 = (1 * ((((((((p1_0_p0_0 * p1_0_p0_0) + (p1_1_p0_1 * p1_1_p0_1)) + (p1_2_p0_2 * p1_2_p0_2)) + (p1_3_p0_3 * p1_3_p0_3)) + (p1_4_p0_4 * p1_4_p0_4)) + (p1_5_p0_5 * p1_5_p0_5)) + (p1_6_p0_6 * p1_6_p0_6)) + (p1_7_p0_7 * p1_7_p0_7)));
double p2_0_p0_0 = (p2[0] - p0[0]);
double p2_1_p0_1 = (p2[1] - p0[1]);
double p2_2_p0_2 = (p2[2] - p0[2]);
double p2_3_p0_3 = (p2[3] - p0[3]);
double p2_4_p0_4 = (p2[4] - p0[4]);
double p2_5_p0_5 = (p2[5] - p0[5]);
double p2_6_p0_6 = (p2[6] - p0[6]);
double p2_7_p0_7 = (p2[7] - p0[7]);
double l2;
l2 = (1 * ((((((((p2_0_p0_0 * p2_0_p0_0) + (p2_1_p0_1 * p2_1_p0_1)) + (p2_2_p0_2 * p2_2_p0_2)) + (p2_3_p0_3 * p2_3_p0_3)) + (p2_4_p0_4 * p2_4_p0_4)) + (p2_5_p0_5 * p2_5_p0_5)) + (p2_6_p0_6 * p2_6_p0_6)) + (p2_7_p0_7 * p2_7_p0_7)));
double p3_0_p0_0 = (p3[0] - p0[0]);
double p3_1_p0_1 = (p3[1] - p0[1]);
double p3_2_p0_2 = (p3[2] - p0[2]);
double p3_3_p0_3 = (p3[3] - p0[3]);
double p3_4_p0_4 = (p3[4] - p0[4]);
double p3_5_p0_5 = (p3[5] - p0[5]);
double p3_6_p0_6 = (p3[6] - p0[6]);
double p3_7_p0_7 = (p3[7] - p0[7]);
double l3;
l3 = (1 * ((((((((p3_0_p0_0 * p3_0_p0_0) + (p3_1_p0_1 * p3_1_p0_1)) + (p3_2_p0_2 * p3_2_p0_2)) + (p3_3_p0_3 * p3_3_p0_3)) + (p3_4_p0_4 * p3_4_p0_4)) + (p3_5_p0_5 * p3_5_p0_5)) + (p3_6_p0_6 * p3_6_p0_6)) + (p3_7_p0_7 * p3_7_p0_7)));
double q0_0_p0_0 = (q0[0] - p0[0]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double q0_3_p0_3 = (q0[3] - p0[3]);
double q0_4_p0_4 = (q0[4] - p0[4]);
double q0_5_p0_5 = (q0[5] - p0[5]);
double q0_6_p0_6 = (q0[6] - p0[6]);
double q0_7_p0_7 = (q0[7] - p0[7]);
double a10;
a10 = (2 * ((((((((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)) + (p1_3_p0_3 * q0_3_p0_3)) + (p1_4_p0_4 * q0_4_p0_4)) + (p1_5_p0_5 * q0_5_p0_5)) + (p1_6_p0_6 * q0_6_p0_6)) + (p1_7_p0_7 * q0_7_p0_7)));
double q1_0_p0_0 = (q1[0] - p0[0]);
double q1_1_p0_1 = (q1[1] - p0[1]);
double q1_2_p0_2 = (q1[2] - p0[2]);
double q1_3_p0_3 = (q1[3] - p0[3]);
double q1_4_p0_4 = (q1[4] - p0[4]);
double q1_5_p0_5 = (q1[5] - p0[5]);
double q1_6_p0_6 = (q1[6] - p0[6]);
double q1_7_p0_7 = (q1[7] - p0[7]);
double a11;
a11 = (2 * ((((((((p1_0_p0_0 * q1_0_p0_0) + (p1_1_p0_1 * q1_1_p0_1)) + (p1_2_p0_2 * q1_2_p0_2)) + (p1_3_p0_3 * q1_3_p0_3)) + (p1_4_p0_4 * q1_4_p0_4)) + (p1_5_p0_5 * q1_5_p0_5)) + (p1_6_p0_6 * q1_6_p0_6)) + (p1_7_p0_7 * q1_7_p0_7)));
double q2_0_p0_0 = (q2[0] - p0[0]);
double q2_1_p0_1 = (q2[1] - p0[1]);
double q2_2_p0_2 = (q2[2] - p0[2]);
double q2_3_p0_3 = (q2[3] - p0[3]);
double q2_4_p0_4 = (q2[4] - p0[4]);
double q2_5_p0_5 = (q2[5] - p0[5]);
double q2_6_p0_6 = (q2[6] - p0[6]);
double q2_7_p0_7 = (q2[7] - p0[7]);
double a12;
a12 = (2 * ((((((((p1_0_p0_0 * q2_0_p0_0) + (p1_1_p0_1 * q2_1_p0_1)) + (p1_2_p0_2 * q2_2_p0_2)) + (p1_3_p0_3 * q2_3_p0_3)) + (p1_4_p0_4 * q2_4_p0_4)) + (p1_5_p0_5 * q2_5_p0_5)) + (p1_6_p0_6 * q2_6_p0_6)) + (p1_7_p0_7 * q2_7_p0_7)));
double a20;
a20 = (2 * ((((((((p2_0_p0_0 * q0_0_p0_0) + (p2_1_p0_1 * q0_1_p0_1)) + (p2_2_p0_2 * q0_2_p0_2)) + (p2_3_p0_3 * q0_3_p0_3)) + (p2_4_p0_4 * q0_4_p0_4)) + (p2_5_p0_5 * q0_5_p0_5)) + (p2_6_p0_6 * q0_6_p0_6)) + (p2_7_p0_7 * q0_7_p0_7)));
double a21;
a21 = (2 * ((((((((p2_0_p0_0 * q1_0_p0_0) + (p2_1_p0_1 * q1_1_p0_1)) + (p2_2_p0_2 * q1_2_p0_2)) + (p2_3_p0_3 * q1_3_p0_3)) + (p2_4_p0_4 * q1_4_p0_4)) + (p2_5_p0_5 * q1_5_p0_5)) + (p2_6_p0_6 * q1_6_p0_6)) + (p2_7_p0_7 * q1_7_p0_7)));
double a22;
a22 = (2 * ((((((((p2_0_p0_0 * q2_0_p0_0) + (p2_1_p0_1 * q2_1_p0_1)) + (p2_2_p0_2 * q2_2_p0_2)) + (p2_3_p0_3 * q2_3_p0_3)) + (p2_4_p0_4 * q2_4_p0_4)) + (p2_5_p0_5 * q2_5_p0_5)) + (p2_6_p0_6 * q2_6_p0_6)) + (p2_7_p0_7 * q2_7_p0_7)));
double a30;
a30 = (2 * ((((((((p3_0_p0_0 * q0_0_p0_0) + (p3_1_p0_1 * q0_1_p0_1)) + (p3_2_p0_2 * q0_2_p0_2)) + (p3_3_p0_3 * q0_3_p0_3)) + (p3_4_p0_4 * q0_4_p0_4)) + (p3_5_p0_5 * q0_5_p0_5)) + (p3_6_p0_6 * q0_6_p0_6)) + (p3_7_p0_7 * q0_7_p0_7)));
double a31;
a31 = (2 * ((((((((p3_0_p0_0 * q1_0_p0_0) + (p3_1_p0_1 * q1_1_p0_1)) + (p3_2_p0_2 * q1_2_p0_2)) + (p3_3_p0_3 * q1_3_p0_3)) + (p3_4_p0_4 * q1_4_p0_4)) + (p3_5_p0_5 * q1_5_p0_5)) + (p3_6_p0_6 * q1_6_p0_6)) + (p3_7_p0_7 * q1_7_p0_7)));
double a32;
a32 = (2 * ((((((((p3_0_p0_0 * q2_0_p0_0) + (p3_1_p0_1 * q2_1_p0_1)) + (p3_2_p0_2 * q2_2_p0_2)) + (p3_3_p0_3 * q2_3_p0_3)) + (p3_4_p0_4 * q2_4_p0_4)) + (p3_5_p0_5 * q2_5_p0_5)) + (p3_6_p0_6 * q2_6_p0_6)) + (p3_7_p0_7 * q2_7_p0_7)));
double b00;
b00 = ((a11 * a22) - (a12 * a21));
double b01;
b01 = (a21 - a22);
double b02;
b02 = (a12 - a11);
double b10;
b10 = ((a12 * a20) - (a10 * a22));
double b11;
b11 = (a22 - a20);
double b12;
b12 = (a10 - a12);
double b20;
b20 = ((a10 * a21) - (a11 * a20));
double b21;
b21 = (a20 - a21);
double b22;
b22 = (a11 - a10);
double Delta;
Delta = ((b00 + b10) + b20);
double DeltaLambda0;
DeltaLambda0 = (((b01 * l1) + (b02 * l2)) + b00);
double DeltaLambda1;
DeltaLambda1 = (((b11 * l1) + (b12 * l2)) + b10);
double DeltaLambda2;
DeltaLambda2 = (((b21 * l1) + (b22 * l2)) + b20);
double r;
r = ((Delta * l3) - (((a30 * DeltaLambda0) + (a31 * DeltaLambda1)) + (a32 * DeltaLambda2)));
double eps;
double max1 = fabs(p2_1_p0_1);
if( (max1 < fabs(p2_0_p0_0)) )
{
max1 = fabs(p2_0_p0_0);
}
if( (max1 < fabs(p2_3_p0_3)) )
{
max1 = fabs(p2_3_p0_3);
}
if( (max1 < fabs(p2_2_p0_2)) )
{
max1 = fabs(p2_2_p0_2);
}
if( (max1 < fabs(p2_4_p0_4)) )
{
max1 = fabs(p2_4_p0_4);
}
if( (max1 < fabs(p2_7_p0_7)) )
{
max1 = fabs(p2_7_p0_7);
}
if( (max1 < fabs(p2_5_p0_5)) )
{
max1 = fabs(p2_5_p0_5);
}
if( (max1 < fabs(p2_6_p0_6)) )
{
max1 = fabs(p2_6_p0_6);
}
double max2 = fabs(p1_4_p0_4);
if( (max2 < fabs(p1_1_p0_1)) )
{
max2 = fabs(p1_1_p0_1);
}
if( (max2 < fabs(p1_0_p0_0)) )
{
max2 = fabs(p1_0_p0_0);
}
if( (max2 < fabs(p1_3_p0_3)) )
{
max2 = fabs(p1_3_p0_3);
}
if( (max2 < fabs(p1_2_p0_2)) )
{
max2 = fabs(p1_2_p0_2);
}
if( (max2 < fabs(p1_5_p0_5)) )
{
max2 = fabs(p1_5_p0_5);
}
if( (max2 < fabs(p1_6_p0_6)) )
{
max2 = fabs(p1_6_p0_6);
}
if( (max2 < fabs(p1_7_p0_7)) )
{
max2 = fabs(p1_7_p0_7);
}
double max3 = fabs(q0_0_p0_0);
if( (max3 < fabs(q0_1_p0_1)) )
{
max3 = fabs(q0_1_p0_1);
}
if( (max3 < fabs(q0_2_p0_2)) )
{
max3 = fabs(q0_2_p0_2);
}
if( (max3 < fabs(q0_3_p0_3)) )
{
max3 = fabs(q0_3_p0_3);
}
if( (max3 < fabs(q0_4_p0_4)) )
{
max3 = fabs(q0_4_p0_4);
}
if( (max3 < fabs(q0_5_p0_5)) )
{
max3 = fabs(q0_5_p0_5);
}
if( (max3 < fabs(q0_6_p0_6)) )
{
max3 = fabs(q0_6_p0_6);
}
if( (max3 < fabs(q0_7_p0_7)) )
{
max3 = fabs(q0_7_p0_7);
}
if( (max3 < fabs(q1_0_p0_0)) )
{
max3 = fabs(q1_0_p0_0);
}
if( (max3 < fabs(q1_1_p0_1)) )
{
max3 = fabs(q1_1_p0_1);
}
if( (max3 < fabs(q1_2_p0_2)) )
{
max3 = fabs(q1_2_p0_2);
}
if( (max3 < fabs(q1_3_p0_3)) )
{
max3 = fabs(q1_3_p0_3);
}
if( (max3 < fabs(q1_4_p0_4)) )
{
max3 = fabs(q1_4_p0_4);
}
if( (max3 < fabs(q1_5_p0_5)) )
{
max3 = fabs(q1_5_p0_5);
}
if( (max3 < fabs(q1_6_p0_6)) )
{
max3 = fabs(q1_6_p0_6);
}
if( (max3 < fabs(q1_7_p0_7)) )
{
max3 = fabs(q1_7_p0_7);
}
if( (max3 < fabs(q2_0_p0_0)) )
{
max3 = fabs(q2_0_p0_0);
}
if( (max3 < fabs(q2_1_p0_1)) )
{
max3 = fabs(q2_1_p0_1);
}
if( (max3 < fabs(q2_2_p0_2)) )
{
max3 = fabs(q2_2_p0_2);
}
if( (max3 < fabs(q2_3_p0_3)) )
{
max3 = fabs(q2_3_p0_3);
}
if( (max3 < fabs(q2_4_p0_4)) )
{
max3 = fabs(q2_4_p0_4);
}
if( (max3 < fabs(q2_5_p0_5)) )
{
max3 = fabs(q2_5_p0_5);
}
if( (max3 < fabs(q2_6_p0_6)) )
{
max3 = fabs(q2_6_p0_6);
}
if( (max3 < fabs(q2_7_p0_7)) )
{
max3 = fabs(q2_7_p0_7);
}
double lower_bound_1;
double upper_bound_1;
int Delta_sign;
int int_tmp_result;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (lower_bound_1 < 1.26419510663115923609e-74) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.29807421463370647479e+33) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (8.71140112255785451890e-13 * (((max2 * max3) * max1) * max3));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta_sign = int_tmp_result;
double max4 = max1;
if( (max4 < max2) )
{
max4 = max2;
}
if( (max4 < max3) )
{
max4 = max3;
}
double max5 = max2;
if( (max5 < fabs(p3_0_p0_0)) )
{
max5 = fabs(p3_0_p0_0);
}
if( (max5 < fabs(p3_1_p0_1)) )
{
max5 = fabs(p3_1_p0_1);
}
if( (max5 < fabs(p3_2_p0_2)) )
{
max5 = fabs(p3_2_p0_2);
}
if( (max5 < fabs(p3_3_p0_3)) )
{
max5 = fabs(p3_3_p0_3);
}
if( (max5 < fabs(p3_4_p0_4)) )
{
max5 = fabs(p3_4_p0_4);
}
if( (max5 < fabs(p3_5_p0_5)) )
{
max5 = fabs(p3_5_p0_5);
}
if( (max5 < fabs(p3_6_p0_6)) )
{
max5 = fabs(p3_6_p0_6);
}
if( (max5 < fabs(p3_7_p0_7)) )
{
max5 = fabs(p3_7_p0_7);
}
if( (max4 < max5) )
{
max4 = max5;
}
double max6 = max2;
if( (max6 < max3) )
{
max6 = max3;
}
if( (max6 < max5) )
{
max6 = max5;
}
double max7 = max2;
if( (max7 < max3) )
{
max7 = max3;
}
if( (max6 < max7) )
{
max6 = max7;
}
if( (max4 < max6) )
{
max4 = max6;
}
if( (max4 < max7) )
{
max4 = max7;
}
int r_sign;
int int_tmp_result_FFWKCAA;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
else
{
if( (max4 > upper_bound_1) )
{
upper_bound_1 = max4;
}
}
if( (max5 < lower_bound_1) )
{
lower_bound_1 = max5;
}
if( (max6 < lower_bound_1) )
{
lower_bound_1 = max6;
}
if( (max7 < lower_bound_1) )
{
lower_bound_1 = max7;
}
if( (lower_bound_1 < 2.82528483194754087282e-50) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.29807421463370647479e+33) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (4.37492894694731169807e-11 * (((((max5 * max3) * max1) * max7) * max6) * max4));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
r_sign = int_tmp_result_FFWKCAA;
return (Delta_sign * r_sign);
}
/******* extracted from predicates/side3h.h *******/
inline int side3h_3d_filter( const double* p0, const double* p1, const double* p2, const double* p3, double h0, double h1, double h2, double h3, const double* q0, const double* q1, const double* q2) {
double l1;
l1 = (h1 - h0);
double l2;
l2 = (h2 - h0);
double l3;
l3 = (h3 - h0);
double p1_0_p0_0 = (p1[0] - p0[0]);
double q0_0_p0_0 = (q0[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double a10;
a10 = (2 * (((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)));
double q1_0_p0_0 = (q1[0] - p0[0]);
double q1_1_p0_1 = (q1[1] - p0[1]);
double q1_2_p0_2 = (q1[2] - p0[2]);
double a11;
a11 = (2 * (((p1_0_p0_0 * q1_0_p0_0) + (p1_1_p0_1 * q1_1_p0_1)) + (p1_2_p0_2 * q1_2_p0_2)));
double q2_0_p0_0 = (q2[0] - p0[0]);
double q2_1_p0_1 = (q2[1] - p0[1]);
double q2_2_p0_2 = (q2[2] - p0[2]);
double a12;
a12 = (2 * (((p1_0_p0_0 * q2_0_p0_0) + (p1_1_p0_1 * q2_1_p0_1)) + (p1_2_p0_2 * q2_2_p0_2)));
double p2_0_p0_0 = (p2[0] - p0[0]);
double p2_1_p0_1 = (p2[1] - p0[1]);
double p2_2_p0_2 = (p2[2] - p0[2]);
double a20;
a20 = (2 * (((p2_0_p0_0 * q0_0_p0_0) + (p2_1_p0_1 * q0_1_p0_1)) + (p2_2_p0_2 * q0_2_p0_2)));
double a21;
a21 = (2 * (((p2_0_p0_0 * q1_0_p0_0) + (p2_1_p0_1 * q1_1_p0_1)) + (p2_2_p0_2 * q1_2_p0_2)));
double a22;
a22 = (2 * (((p2_0_p0_0 * q2_0_p0_0) + (p2_1_p0_1 * q2_1_p0_1)) + (p2_2_p0_2 * q2_2_p0_2)));
double p3_0_p0_0 = (p3[0] - p0[0]);
double p3_1_p0_1 = (p3[1] - p0[1]);
double p3_2_p0_2 = (p3[2] - p0[2]);
double a30;
a30 = (2 * (((p3_0_p0_0 * q0_0_p0_0) + (p3_1_p0_1 * q0_1_p0_1)) + (p3_2_p0_2 * q0_2_p0_2)));
double a31;
a31 = (2 * (((p3_0_p0_0 * q1_0_p0_0) + (p3_1_p0_1 * q1_1_p0_1)) + (p3_2_p0_2 * q1_2_p0_2)));
double a32;
a32 = (2 * (((p3_0_p0_0 * q2_0_p0_0) + (p3_1_p0_1 * q2_1_p0_1)) + (p3_2_p0_2 * q2_2_p0_2)));
double b00;
b00 = ((a11 * a22) - (a12 * a21));
double b01;
b01 = (a21 - a22);
double b02;
b02 = (a12 - a11);
double b10;
b10 = ((a12 * a20) - (a10 * a22));
double b11;
b11 = (a22 - a20);
double b12;
b12 = (a10 - a12);
double b20;
b20 = ((a10 * a21) - (a11 * a20));
double b21;
b21 = (a20 - a21);
double b22;
b22 = (a11 - a10);
double Delta;
Delta = ((b00 + b10) + b20);
double DeltaLambda0;
DeltaLambda0 = (((b01 * l1) + (b02 * l2)) + b00);
double DeltaLambda1;
DeltaLambda1 = (((b11 * l1) + (b12 * l2)) + b10);
double DeltaLambda2;
DeltaLambda2 = (((b21 * l1) + (b22 * l2)) + b20);
double r;
r = ((Delta * l3) - (((a30 * DeltaLambda0) + (a31 * DeltaLambda1)) + (a32 * DeltaLambda2)));
double eps;
double max1 = fabs(q2_2_p0_2);
if( (max1 < fabs(q0_0_p0_0)) )
{
max1 = fabs(q0_0_p0_0);
}
if( (max1 < fabs(q0_1_p0_1)) )
{
max1 = fabs(q0_1_p0_1);
}
if( (max1 < fabs(q0_2_p0_2)) )
{
max1 = fabs(q0_2_p0_2);
}
if( (max1 < fabs(q1_0_p0_0)) )
{
max1 = fabs(q1_0_p0_0);
}
if( (max1 < fabs(q1_1_p0_1)) )
{
max1 = fabs(q1_1_p0_1);
}
if( (max1 < fabs(q1_2_p0_2)) )
{
max1 = fabs(q1_2_p0_2);
}
if( (max1 < fabs(q2_0_p0_0)) )
{
max1 = fabs(q2_0_p0_0);
}
if( (max1 < fabs(q2_1_p0_1)) )
{
max1 = fabs(q2_1_p0_1);
}
double max2 = fabs(p2_0_p0_0);
if( (max2 < fabs(p2_1_p0_1)) )
{
max2 = fabs(p2_1_p0_1);
}
if( (max2 < fabs(p2_2_p0_2)) )
{
max2 = fabs(p2_2_p0_2);
}
double max3 = fabs(p1_0_p0_0);
if( (max3 < fabs(p1_1_p0_1)) )
{
max3 = fabs(p1_1_p0_1);
}
if( (max3 < fabs(p1_2_p0_2)) )
{
max3 = fabs(p1_2_p0_2);
}
double lower_bound_1;
double upper_bound_1;
int Delta_sign;
int int_tmp_result;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (lower_bound_1 < 2.22985945097100191780e-74) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 2.59614842926741294957e+33) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (8.99983341597279045654e-14 * (((max3 * max1) * max2) * max1));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta_sign = int_tmp_result;
double max4 = max2;
if( (max4 < fabs(l1)) )
{
max4 = fabs(l1);
}
if( (max4 < fabs(l2)) )
{
max4 = fabs(l2);
}
double max5 = max2;
if( (max5 < max3) )
{
max5 = max3;
}
if( (max5 < fabs(l3)) )
{
max5 = fabs(l3);
}
double max6 = max2;
if( (max6 < fabs(q2_2_p0_2)) )
{
max6 = fabs(q2_2_p0_2);
}
if( (max6 < fabs(q0_0_p0_0)) )
{
max6 = fabs(q0_0_p0_0);
}
if( (max6 < fabs(q0_1_p0_1)) )
{
max6 = fabs(q0_1_p0_1);
}
if( (max6 < fabs(q0_2_p0_2)) )
{
max6 = fabs(q0_2_p0_2);
}
if( (max6 < fabs(q2_0_p0_0)) )
{
max6 = fabs(q2_0_p0_0);
}
if( (max6 < fabs(q2_1_p0_1)) )
{
max6 = fabs(q2_1_p0_1);
}
double max7 = max3;
if( (max7 < fabs(p3_0_p0_0)) )
{
max7 = fabs(p3_0_p0_0);
}
if( (max7 < fabs(p3_1_p0_1)) )
{
max7 = fabs(p3_1_p0_1);
}
if( (max7 < fabs(p3_2_p0_2)) )
{
max7 = fabs(p3_2_p0_2);
}
int r_sign;
int int_tmp_result_FFWKCAA;
lower_bound_1 = max6;
upper_bound_1 = max6;
if( (max5 < lower_bound_1) )
{
lower_bound_1 = max5;
}
else
{
if( (max5 > upper_bound_1) )
{
upper_bound_1 = max5;
}
}
if( (max1 < lower_bound_1) )
{
lower_bound_1 = max1;
}
else
{
if( (max1 > upper_bound_1) )
{
upper_bound_1 = max1;
}
}
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
else
{
if( (max4 > upper_bound_1) )
{
upper_bound_1 = max4;
}
}
if( (max7 < lower_bound_1) )
{
lower_bound_1 = max7;
}
else
{
if( (max7 > upper_bound_1) )
{
upper_bound_1 = max7;
}
}
if( (lower_bound_1 < 5.53478725478149652989e-50) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 2.59614842926741294957e+33) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (7.73996217364502738018e-13 * (((((max7 * max1) * max6) * max1) * max5) * max4));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
r_sign = int_tmp_result_FFWKCAA;
return (Delta_sign * r_sign);
}
/******* extracted from predicates/side3_2dlifted.h *******/
inline int side3_2dlifted_2d_filter( const double* p0, const double* p1, const double* p2, const double* p3, double h0, double h1, double h2, double h3) {
double a11;
a11 = (p1[0] - p0[0]);
double a12;
a12 = (p1[1] - p0[1]);
double a13;
a13 = (h0 - h1);
double a21;
a21 = (p2[0] - p0[0]);
double a22;
a22 = (p2[1] - p0[1]);
double a23;
a23 = (h0 - h2);
double a31;
a31 = (p3[0] - p0[0]);
double a32;
a32 = (p3[1] - p0[1]);
double a33;
a33 = (h0 - h3);
double Delta1;
Delta1 = ((a21 * a32) - (a22 * a31));
double Delta2;
Delta2 = ((a11 * a32) - (a12 * a31));
double Delta3;
Delta3 = ((a11 * a22) - (a12 * a21));
double r;
r = (((Delta1 * a13) - (Delta2 * a23)) + (Delta3 * a33));
double eps;
double max1 = fabs(a11);
if( (max1 < fabs(a12)) )
{
max1 = fabs(a12);
}
double max2 = fabs(a21);
if( (max2 < fabs(a22)) )
{
max2 = fabs(a22);
}
double lower_bound_1;
double upper_bound_1;
int Delta3_sign;
int int_tmp_result;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (lower_bound_1 < 5.00368081960964635413e-147) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 5.59936185544450928309e+101) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (8.88720573725927976811e-16 * (max1 * max2));
if( (Delta3 > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta3 < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta3_sign = int_tmp_result;
int int_tmp_result_FFWKCAA;
double max3 = max1;
if( (max3 < max2) )
{
max3 = max2;
}
double max4 = fabs(a13);
if( (max4 < fabs(a23)) )
{
max4 = fabs(a23);
}
if( (max4 < fabs(a33)) )
{
max4 = fabs(a33);
}
double max5 = max2;
if( (max5 < fabs(a31)) )
{
max5 = fabs(a31);
}
if( (max5 < fabs(a32)) )
{
max5 = fabs(a32);
}
lower_bound_1 = max3;
upper_bound_1 = max3;
if( (max5 < lower_bound_1) )
{
lower_bound_1 = max5;
}
else
{
if( (max5 > upper_bound_1) )
{
upper_bound_1 = max5;
}
}
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
else
{
if( (max4 > upper_bound_1) )
{
upper_bound_1 = max4;
}
}
if( (lower_bound_1 < 1.63288018496748314939e-98) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 5.59936185544450928309e+101) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (5.11071278299732992696e-15 * ((max3 * max5) * max4));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return (Delta3_sign * int_tmp_result_FFWKCAA);
}
/******* extracted from predicates/side4.h *******/
inline int side4_3d_filter( const double* p0, const double* p1, const double* p2, const double* p3, const double* p4) {
double a11;
a11 = (p1[0] - p0[0]);
double a12;
a12 = (p1[1] - p0[1]);
double a13;
a13 = (p1[2] - p0[2]);
double p1_0_p0_0 = (p1[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double a14;
a14 = -(((p1_0_p0_0 * p1_0_p0_0) + (p1_1_p0_1 * p1_1_p0_1)) + (p1_2_p0_2 * p1_2_p0_2));
double a21;
a21 = (p2[0] - p0[0]);
double a22;
a22 = (p2[1] - p0[1]);
double a23;
a23 = (p2[2] - p0[2]);
double p2_0_p0_0 = (p2[0] - p0[0]);
double p2_1_p0_1 = (p2[1] - p0[1]);
double p2_2_p0_2 = (p2[2] - p0[2]);
double a24;
a24 = -(((p2_0_p0_0 * p2_0_p0_0) + (p2_1_p0_1 * p2_1_p0_1)) + (p2_2_p0_2 * p2_2_p0_2));
double a31;
a31 = (p3[0] - p0[0]);
double a32;
a32 = (p3[1] - p0[1]);
double a33;
a33 = (p3[2] - p0[2]);
double p3_0_p0_0 = (p3[0] - p0[0]);
double p3_1_p0_1 = (p3[1] - p0[1]);
double p3_2_p0_2 = (p3[2] - p0[2]);
double a34;
a34 = -(((p3_0_p0_0 * p3_0_p0_0) + (p3_1_p0_1 * p3_1_p0_1)) + (p3_2_p0_2 * p3_2_p0_2));
double a41;
a41 = (p4[0] - p0[0]);
double a42;
a42 = (p4[1] - p0[1]);
double a43;
a43 = (p4[2] - p0[2]);
double p4_0_p0_0 = (p4[0] - p0[0]);
double p4_1_p0_1 = (p4[1] - p0[1]);
double p4_2_p0_2 = (p4[2] - p0[2]);
double a44;
a44 = -(((p4_0_p0_0 * p4_0_p0_0) + (p4_1_p0_1 * p4_1_p0_1)) + (p4_2_p0_2 * p4_2_p0_2));
double Delta1;
Delta1 = (((a21 * ((a32 * a43) - (a33 * a42))) - (a31 * ((a22 * a43) - (a23 * a42)))) + (a41 * ((a22 * a33) - (a23 * a32))));
double Delta2;
Delta2 = (((a11 * ((a32 * a43) - (a33 * a42))) - (a31 * ((a12 * a43) - (a13 * a42)))) + (a41 * ((a12 * a33) - (a13 * a32))));
double Delta3;
Delta3 = (((a11 * ((a22 * a43) - (a23 * a42))) - (a21 * ((a12 * a43) - (a13 * a42)))) + (a41 * ((a12 * a23) - (a13 * a22))));
double Delta4;
Delta4 = (((a11 * ((a22 * a33) - (a23 * a32))) - (a21 * ((a12 * a33) - (a13 * a32)))) + (a31 * ((a12 * a23) - (a13 * a22))));
double r;
r = ((((Delta1 * a14) - (Delta2 * a24)) + (Delta3 * a34)) - (Delta4 * a44));
double eps;
double max1 = fabs(a11);
if( (max1 < fabs(a21)) )
{
max1 = fabs(a21);
}
if( (max1 < fabs(a31)) )
{
max1 = fabs(a31);
}
double max2 = fabs(a12);
if( (max2 < fabs(a13)) )
{
max2 = fabs(a13);
}
if( (max2 < fabs(a22)) )
{
max2 = fabs(a22);
}
if( (max2 < fabs(a23)) )
{
max2 = fabs(a23);
}
double max3 = fabs(a22);
if( (max3 < fabs(a23)) )
{
max3 = fabs(a23);
}
if( (max3 < fabs(a32)) )
{
max3 = fabs(a32);
}
if( (max3 < fabs(a33)) )
{
max3 = fabs(a33);
}
double lower_bound_1;
double upper_bound_1;
int Delta4_sign;
int int_tmp_result;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (lower_bound_1 < 1.63288018496748314939e-98) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 3.21387608851797948065e+60) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (5.11071278299732992696e-15 * ((max2 * max3) * max1));
if( (Delta4 > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta4 < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta4_sign = int_tmp_result;
int int_tmp_result_FFWKCAA;
double max4 = max1;
if( (max4 < fabs(a41)) )
{
max4 = fabs(a41);
}
double max5 = max3;
if( (max5 < max2) )
{
max5 = max2;
}
double max6 = max3;
if( (max6 < fabs(a42)) )
{
max6 = fabs(a42);
}
if( (max6 < fabs(a43)) )
{
max6 = fabs(a43);
}
double max7 = fabs(p1_0_p0_0);
if( (max7 < fabs(p1_1_p0_1)) )
{
max7 = fabs(p1_1_p0_1);
}
if( (max7 < fabs(p1_2_p0_2)) )
{
max7 = fabs(p1_2_p0_2);
}
if( (max7 < fabs(p2_0_p0_0)) )
{
max7 = fabs(p2_0_p0_0);
}
if( (max7 < fabs(p2_2_p0_2)) )
{
max7 = fabs(p2_2_p0_2);
}
if( (max7 < fabs(p2_1_p0_1)) )
{
max7 = fabs(p2_1_p0_1);
}
if( (max7 < fabs(p3_0_p0_0)) )
{
max7 = fabs(p3_0_p0_0);
}
if( (max7 < fabs(p3_1_p0_1)) )
{
max7 = fabs(p3_1_p0_1);
}
if( (max7 < fabs(p3_2_p0_2)) )
{
max7 = fabs(p3_2_p0_2);
}
if( (max7 < fabs(p4_0_p0_0)) )
{
max7 = fabs(p4_0_p0_0);
}
if( (max7 < fabs(p4_1_p0_1)) )
{
max7 = fabs(p4_1_p0_1);
}
if( (max7 < fabs(p4_2_p0_2)) )
{
max7 = fabs(p4_2_p0_2);
}
lower_bound_1 = max7;
upper_bound_1 = max7;
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
else
{
if( (max4 > upper_bound_1) )
{
upper_bound_1 = max4;
}
}
if( (max5 < lower_bound_1) )
{
lower_bound_1 = max5;
}
else
{
if( (max5 > upper_bound_1) )
{
upper_bound_1 = max5;
}
}
if( (max6 < lower_bound_1) )
{
lower_bound_1 = max6;
}
else
{
if( (max6 > upper_bound_1) )
{
upper_bound_1 = max6;
}
}
if( (lower_bound_1 < 1.12285198342304832993e-59) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 3.21387608851797948065e+60) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (1.24661365310273025710e-13 * ((((max5 * max6) * max4) * max7) * max7));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return (Delta4_sign * int_tmp_result_FFWKCAA);
}
inline int side4_4d_filter( const double* p0, const double* p1, const double* p2, const double* p3, const double* p4, const double* q0, const double* q1, const double* q2, const double* q3) {
double p1_0_p0_0 = (p1[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double p1_3_p0_3 = (p1[3] - p0[3]);
double l1;
l1 = (1 * ((((p1_0_p0_0 * p1_0_p0_0) + (p1_1_p0_1 * p1_1_p0_1)) + (p1_2_p0_2 * p1_2_p0_2)) + (p1_3_p0_3 * p1_3_p0_3)));
double p2_0_p0_0 = (p2[0] - p0[0]);
double p2_1_p0_1 = (p2[1] - p0[1]);
double p2_2_p0_2 = (p2[2] - p0[2]);
double p2_3_p0_3 = (p2[3] - p0[3]);
double l2;
l2 = (1 * ((((p2_0_p0_0 * p2_0_p0_0) + (p2_1_p0_1 * p2_1_p0_1)) + (p2_2_p0_2 * p2_2_p0_2)) + (p2_3_p0_3 * p2_3_p0_3)));
double p3_0_p0_0 = (p3[0] - p0[0]);
double p3_1_p0_1 = (p3[1] - p0[1]);
double p3_2_p0_2 = (p3[2] - p0[2]);
double p3_3_p0_3 = (p3[3] - p0[3]);
double l3;
l3 = (1 * ((((p3_0_p0_0 * p3_0_p0_0) + (p3_1_p0_1 * p3_1_p0_1)) + (p3_2_p0_2 * p3_2_p0_2)) + (p3_3_p0_3 * p3_3_p0_3)));
double p4_0_p0_0 = (p4[0] - p0[0]);
double p4_1_p0_1 = (p4[1] - p0[1]);
double p4_2_p0_2 = (p4[2] - p0[2]);
double p4_3_p0_3 = (p4[3] - p0[3]);
double l4;
l4 = (1 * ((((p4_0_p0_0 * p4_0_p0_0) + (p4_1_p0_1 * p4_1_p0_1)) + (p4_2_p0_2 * p4_2_p0_2)) + (p4_3_p0_3 * p4_3_p0_3)));
double q0_0_p0_0 = (q0[0] - p0[0]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double q0_3_p0_3 = (q0[3] - p0[3]);
double a10;
a10 = (2 * ((((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)) + (p1_3_p0_3 * q0_3_p0_3)));
double q1_0_p0_0 = (q1[0] - p0[0]);
double q1_1_p0_1 = (q1[1] - p0[1]);
double q1_2_p0_2 = (q1[2] - p0[2]);
double q1_3_p0_3 = (q1[3] - p0[3]);
double a11;
a11 = (2 * ((((p1_0_p0_0 * q1_0_p0_0) + (p1_1_p0_1 * q1_1_p0_1)) + (p1_2_p0_2 * q1_2_p0_2)) + (p1_3_p0_3 * q1_3_p0_3)));
double q2_0_p0_0 = (q2[0] - p0[0]);
double q2_1_p0_1 = (q2[1] - p0[1]);
double q2_2_p0_2 = (q2[2] - p0[2]);
double q2_3_p0_3 = (q2[3] - p0[3]);
double a12;
a12 = (2 * ((((p1_0_p0_0 * q2_0_p0_0) + (p1_1_p0_1 * q2_1_p0_1)) + (p1_2_p0_2 * q2_2_p0_2)) + (p1_3_p0_3 * q2_3_p0_3)));
double q3_0_p0_0 = (q3[0] - p0[0]);
double q3_1_p0_1 = (q3[1] - p0[1]);
double q3_2_p0_2 = (q3[2] - p0[2]);
double q3_3_p0_3 = (q3[3] - p0[3]);
double a13;
a13 = (2 * ((((p1_0_p0_0 * q3_0_p0_0) + (p1_1_p0_1 * q3_1_p0_1)) + (p1_2_p0_2 * q3_2_p0_2)) + (p1_3_p0_3 * q3_3_p0_3)));
double a20;
a20 = (2 * ((((p2_0_p0_0 * q0_0_p0_0) + (p2_1_p0_1 * q0_1_p0_1)) + (p2_2_p0_2 * q0_2_p0_2)) + (p2_3_p0_3 * q0_3_p0_3)));
double a21;
a21 = (2 * ((((p2_0_p0_0 * q1_0_p0_0) + (p2_1_p0_1 * q1_1_p0_1)) + (p2_2_p0_2 * q1_2_p0_2)) + (p2_3_p0_3 * q1_3_p0_3)));
double a22;
a22 = (2 * ((((p2_0_p0_0 * q2_0_p0_0) + (p2_1_p0_1 * q2_1_p0_1)) + (p2_2_p0_2 * q2_2_p0_2)) + (p2_3_p0_3 * q2_3_p0_3)));
double a23;
a23 = (2 * ((((p2_0_p0_0 * q3_0_p0_0) + (p2_1_p0_1 * q3_1_p0_1)) + (p2_2_p0_2 * q3_2_p0_2)) + (p2_3_p0_3 * q3_3_p0_3)));
double a30;
a30 = (2 * ((((p3_0_p0_0 * q0_0_p0_0) + (p3_1_p0_1 * q0_1_p0_1)) + (p3_2_p0_2 * q0_2_p0_2)) + (p3_3_p0_3 * q0_3_p0_3)));
double a31;
a31 = (2 * ((((p3_0_p0_0 * q1_0_p0_0) + (p3_1_p0_1 * q1_1_p0_1)) + (p3_2_p0_2 * q1_2_p0_2)) + (p3_3_p0_3 * q1_3_p0_3)));
double a32;
a32 = (2 * ((((p3_0_p0_0 * q2_0_p0_0) + (p3_1_p0_1 * q2_1_p0_1)) + (p3_2_p0_2 * q2_2_p0_2)) + (p3_3_p0_3 * q2_3_p0_3)));
double a33;
a33 = (2 * ((((p3_0_p0_0 * q3_0_p0_0) + (p3_1_p0_1 * q3_1_p0_1)) + (p3_2_p0_2 * q3_2_p0_2)) + (p3_3_p0_3 * q3_3_p0_3)));
double a40;
a40 = (2 * ((((p4_0_p0_0 * q0_0_p0_0) + (p4_1_p0_1 * q0_1_p0_1)) + (p4_2_p0_2 * q0_2_p0_2)) + (p4_3_p0_3 * q0_3_p0_3)));
double a41;
a41 = (2 * ((((p4_0_p0_0 * q1_0_p0_0) + (p4_1_p0_1 * q1_1_p0_1)) + (p4_2_p0_2 * q1_2_p0_2)) + (p4_3_p0_3 * q1_3_p0_3)));
double a42;
a42 = (2 * ((((p4_0_p0_0 * q2_0_p0_0) + (p4_1_p0_1 * q2_1_p0_1)) + (p4_2_p0_2 * q2_2_p0_2)) + (p4_3_p0_3 * q2_3_p0_3)));
double a43;
a43 = (2 * ((((p4_0_p0_0 * q3_0_p0_0) + (p4_1_p0_1 * q3_1_p0_1)) + (p4_2_p0_2 * q3_2_p0_2)) + (p4_3_p0_3 * q3_3_p0_3)));
double b00;
b00 = (((a11 * ((a22 * a33) - (a23 * a32))) - (a21 * ((a12 * a33) - (a13 * a32)))) + (a31 * ((a12 * a23) - (a13 * a22))));
double b01;
b01 = -((((a22 * a33) - (a23 * a32)) + ((a23 * a31) - (a21 * a33))) + ((a21 * a32) - (a22 * a31)));
double b02;
b02 = ((((a12 * a33) - (a13 * a32)) + ((a13 * a31) - (a11 * a33))) + ((a11 * a32) - (a12 * a31)));
double b03;
b03 = -((((a12 * a23) - (a13 * a22)) + ((a13 * a21) - (a11 * a23))) + ((a11 * a22) - (a12 * a21)));
double b10;
b10 = -(((a10 * ((a22 * a33) - (a23 * a32))) - (a20 * ((a12 * a33) - (a13 * a32)))) + (a30 * ((a12 * a23) - (a13 * a22))));
double b11;
b11 = ((((a22 * a33) - (a23 * a32)) + ((a23 * a30) - (a20 * a33))) + ((a20 * a32) - (a22 * a30)));
double b12;
b12 = -((((a12 * a33) - (a13 * a32)) + ((a13 * a30) - (a10 * a33))) + ((a10 * a32) - (a12 * a30)));
double b13;
b13 = ((((a12 * a23) - (a13 * a22)) + ((a13 * a20) - (a10 * a23))) + ((a10 * a22) - (a12 * a20)));
double b20;
b20 = (((a10 * ((a21 * a33) - (a23 * a31))) - (a20 * ((a11 * a33) - (a13 * a31)))) + (a30 * ((a11 * a23) - (a13 * a21))));
double b21;
b21 = -((((a21 * a33) - (a23 * a31)) + ((a23 * a30) - (a20 * a33))) + ((a20 * a31) - (a21 * a30)));
double b22;
b22 = ((((a11 * a33) - (a13 * a31)) + ((a13 * a30) - (a10 * a33))) + ((a10 * a31) - (a11 * a30)));
double b23;
b23 = -((((a11 * a23) - (a13 * a21)) + ((a13 * a20) - (a10 * a23))) + ((a10 * a21) - (a11 * a20)));
double b30;
b30 = -(((a10 * ((a21 * a32) - (a22 * a31))) - (a20 * ((a11 * a32) - (a12 * a31)))) + (a30 * ((a11 * a22) - (a12 * a21))));
double b31;
b31 = ((((a21 * a32) - (a22 * a31)) + ((a22 * a30) - (a20 * a32))) + ((a20 * a31) - (a21 * a30)));
double b32;
b32 = -((((a11 * a32) - (a12 * a31)) + ((a12 * a30) - (a10 * a32))) + ((a10 * a31) - (a11 * a30)));
double b33;
b33 = ((((a11 * a22) - (a12 * a21)) + ((a12 * a20) - (a10 * a22))) + ((a10 * a21) - (a11 * a20)));
double Delta;
Delta = (((b00 + b10) + b20) + b30);
double DeltaLambda0;
DeltaLambda0 = ((((b01 * l1) + (b02 * l2)) + (b03 * l3)) + b00);
double DeltaLambda1;
DeltaLambda1 = ((((b11 * l1) + (b12 * l2)) + (b13 * l3)) + b10);
double DeltaLambda2;
DeltaLambda2 = ((((b21 * l1) + (b22 * l2)) + (b23 * l3)) + b20);
double DeltaLambda3;
DeltaLambda3 = ((((b31 * l1) + (b32 * l2)) + (b33 * l3)) + b30);
double r;
r = ((Delta * l4) - ((((a40 * DeltaLambda0) + (a41 * DeltaLambda1)) + (a42 * DeltaLambda2)) + (a43 * DeltaLambda3)));
double eps;
double max1 = fabs(p1_3_p0_3);
if( (max1 < fabs(p1_0_p0_0)) )
{
max1 = fabs(p1_0_p0_0);
}
if( (max1 < fabs(p1_1_p0_1)) )
{
max1 = fabs(p1_1_p0_1);
}
if( (max1 < fabs(p1_2_p0_2)) )
{
max1 = fabs(p1_2_p0_2);
}
double max2 = fabs(p2_2_p0_2);
if( (max2 < fabs(p2_1_p0_1)) )
{
max2 = fabs(p2_1_p0_1);
}
if( (max2 < fabs(p2_3_p0_3)) )
{
max2 = fabs(p2_3_p0_3);
}
if( (max2 < fabs(p2_0_p0_0)) )
{
max2 = fabs(p2_0_p0_0);
}
double max3 = fabs(p3_0_p0_0);
if( (max3 < fabs(p3_1_p0_1)) )
{
max3 = fabs(p3_1_p0_1);
}
if( (max3 < fabs(p3_3_p0_3)) )
{
max3 = fabs(p3_3_p0_3);
}
if( (max3 < fabs(p3_2_p0_2)) )
{
max3 = fabs(p3_2_p0_2);
}
double max4 = fabs(q0_3_p0_3);
if( (max4 < fabs(q0_0_p0_0)) )
{
max4 = fabs(q0_0_p0_0);
}
if( (max4 < fabs(q0_1_p0_1)) )
{
max4 = fabs(q0_1_p0_1);
}
if( (max4 < fabs(q0_2_p0_2)) )
{
max4 = fabs(q0_2_p0_2);
}
if( (max4 < fabs(q1_0_p0_0)) )
{
max4 = fabs(q1_0_p0_0);
}
if( (max4 < fabs(q1_1_p0_1)) )
{
max4 = fabs(q1_1_p0_1);
}
if( (max4 < fabs(q1_2_p0_2)) )
{
max4 = fabs(q1_2_p0_2);
}
if( (max4 < fabs(q1_3_p0_3)) )
{
max4 = fabs(q1_3_p0_3);
}
double max5 = fabs(q1_0_p0_0);
if( (max5 < fabs(q1_1_p0_1)) )
{
max5 = fabs(q1_1_p0_1);
}
if( (max5 < fabs(q1_2_p0_2)) )
{
max5 = fabs(q1_2_p0_2);
}
if( (max5 < fabs(q1_3_p0_3)) )
{
max5 = fabs(q1_3_p0_3);
}
if( (max5 < fabs(q2_0_p0_0)) )
{
max5 = fabs(q2_0_p0_0);
}
if( (max5 < fabs(q2_1_p0_1)) )
{
max5 = fabs(q2_1_p0_1);
}
if( (max5 < fabs(q2_2_p0_2)) )
{
max5 = fabs(q2_2_p0_2);
}
if( (max5 < fabs(q2_3_p0_3)) )
{
max5 = fabs(q2_3_p0_3);
}
double max6 = fabs(q2_0_p0_0);
if( (max6 < fabs(q2_1_p0_1)) )
{
max6 = fabs(q2_1_p0_1);
}
if( (max6 < fabs(q2_2_p0_2)) )
{
max6 = fabs(q2_2_p0_2);
}
if( (max6 < fabs(q2_3_p0_3)) )
{
max6 = fabs(q2_3_p0_3);
}
if( (max6 < fabs(q3_0_p0_0)) )
{
max6 = fabs(q3_0_p0_0);
}
if( (max6 < fabs(q3_1_p0_1)) )
{
max6 = fabs(q3_1_p0_1);
}
if( (max6 < fabs(q3_2_p0_2)) )
{
max6 = fabs(q3_2_p0_2);
}
if( (max6 < fabs(q3_3_p0_3)) )
{
max6 = fabs(q3_3_p0_3);
}
double lower_bound_1;
double upper_bound_1;
int Delta_sign;
int int_tmp_result;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
else
{
if( (max4 > upper_bound_1) )
{
upper_bound_1 = max4;
}
}
if( (max5 < lower_bound_1) )
{
lower_bound_1 = max5;
}
else
{
if( (max5 > upper_bound_1) )
{
upper_bound_1 = max5;
}
}
if( (max6 < lower_bound_1) )
{
lower_bound_1 = max6;
}
else
{
if( (max6 > upper_bound_1) )
{
upper_bound_1 = max6;
}
}
if( (lower_bound_1 < 4.14607644401726239868e-50) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 4.83570327845851562508e+24) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (4.38046888801178809320e-12 * (((((max1 * max4) * max2) * max5) * max3) * max6));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta_sign = int_tmp_result;
int int_tmp_result_FFWKCAA;
double max7 = max1;
if( (max7 < max2) )
{
max7 = max2;
}
if( (max7 < max3) )
{
max7 = max3;
}
if( (max7 < max6) )
{
max7 = max6;
}
double max8 = max1;
if( (max8 < fabs(p4_1_p0_1)) )
{
max8 = fabs(p4_1_p0_1);
}
if( (max8 < fabs(p4_2_p0_2)) )
{
max8 = fabs(p4_2_p0_2);
}
if( (max8 < fabs(p4_0_p0_0)) )
{
max8 = fabs(p4_0_p0_0);
}
if( (max8 < fabs(p4_3_p0_3)) )
{
max8 = fabs(p4_3_p0_3);
}
if( (max7 < max8) )
{
max7 = max8;
}
double max9 = max1;
if( (max9 < max5) )
{
max9 = max5;
}
if( (max9 < max8) )
{
max9 = max8;
}
double max10;
double max11 = max4;
if( (max11 < max5) )
{
max11 = max5;
}
max10 = max11;
if( (max10 < max1) )
{
max10 = max1;
}
if( (max10 < max4) )
{
max10 = max4;
}
if( (max10 < max5) )
{
max10 = max5;
}
if( (max10 < max6) )
{
max10 = max6;
}
lower_bound_1 = max10;
upper_bound_1 = max10;
if( (max11 < lower_bound_1) )
{
lower_bound_1 = max11;
}
else
{
if( (max11 > upper_bound_1) )
{
upper_bound_1 = max11;
}
}
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
if( (max7 < lower_bound_1) )
{
lower_bound_1 = max7;
}
else
{
if( (max7 > upper_bound_1) )
{
upper_bound_1 = max7;
}
}
if( (max8 < lower_bound_1) )
{
lower_bound_1 = max8;
}
if( (max9 < lower_bound_1) )
{
lower_bound_1 = max9;
}
else
{
if( (max9 > upper_bound_1) )
{
upper_bound_1 = max9;
}
}
if( (lower_bound_1 < 6.06263132863556750071e-38) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 4.83570327845851562508e+24) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (1.21914442286604163181e-10 * (((((((max8 * max11) * max2) * max10) * max3) * max10) * max9) * max7));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return (Delta_sign * int_tmp_result_FFWKCAA);
}
inline int side4_6d_filter( const double* p0, const double* p1, const double* p2, const double* p3, const double* p4, const double* q0, const double* q1, const double* q2, const double* q3) {
double p1_0_p0_0 = (p1[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double p1_3_p0_3 = (p1[3] - p0[3]);
double p1_4_p0_4 = (p1[4] - p0[4]);
double p1_5_p0_5 = (p1[5] - p0[5]);
double l1;
l1 = (1 * ((((((p1_0_p0_0 * p1_0_p0_0) + (p1_1_p0_1 * p1_1_p0_1)) + (p1_2_p0_2 * p1_2_p0_2)) + (p1_3_p0_3 * p1_3_p0_3)) + (p1_4_p0_4 * p1_4_p0_4)) + (p1_5_p0_5 * p1_5_p0_5)));
double p2_0_p0_0 = (p2[0] - p0[0]);
double p2_1_p0_1 = (p2[1] - p0[1]);
double p2_2_p0_2 = (p2[2] - p0[2]);
double p2_3_p0_3 = (p2[3] - p0[3]);
double p2_4_p0_4 = (p2[4] - p0[4]);
double p2_5_p0_5 = (p2[5] - p0[5]);
double l2;
l2 = (1 * ((((((p2_0_p0_0 * p2_0_p0_0) + (p2_1_p0_1 * p2_1_p0_1)) + (p2_2_p0_2 * p2_2_p0_2)) + (p2_3_p0_3 * p2_3_p0_3)) + (p2_4_p0_4 * p2_4_p0_4)) + (p2_5_p0_5 * p2_5_p0_5)));
double p3_0_p0_0 = (p3[0] - p0[0]);
double p3_1_p0_1 = (p3[1] - p0[1]);
double p3_2_p0_2 = (p3[2] - p0[2]);
double p3_3_p0_3 = (p3[3] - p0[3]);
double p3_4_p0_4 = (p3[4] - p0[4]);
double p3_5_p0_5 = (p3[5] - p0[5]);
double l3;
l3 = (1 * ((((((p3_0_p0_0 * p3_0_p0_0) + (p3_1_p0_1 * p3_1_p0_1)) + (p3_2_p0_2 * p3_2_p0_2)) + (p3_3_p0_3 * p3_3_p0_3)) + (p3_4_p0_4 * p3_4_p0_4)) + (p3_5_p0_5 * p3_5_p0_5)));
double p4_0_p0_0 = (p4[0] - p0[0]);
double p4_1_p0_1 = (p4[1] - p0[1]);
double p4_2_p0_2 = (p4[2] - p0[2]);
double p4_3_p0_3 = (p4[3] - p0[3]);
double p4_4_p0_4 = (p4[4] - p0[4]);
double p4_5_p0_5 = (p4[5] - p0[5]);
double l4;
l4 = (1 * ((((((p4_0_p0_0 * p4_0_p0_0) + (p4_1_p0_1 * p4_1_p0_1)) + (p4_2_p0_2 * p4_2_p0_2)) + (p4_3_p0_3 * p4_3_p0_3)) + (p4_4_p0_4 * p4_4_p0_4)) + (p4_5_p0_5 * p4_5_p0_5)));
double q0_0_p0_0 = (q0[0] - p0[0]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double q0_3_p0_3 = (q0[3] - p0[3]);
double q0_4_p0_4 = (q0[4] - p0[4]);
double q0_5_p0_5 = (q0[5] - p0[5]);
double a10;
a10 = (2 * ((((((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)) + (p1_3_p0_3 * q0_3_p0_3)) + (p1_4_p0_4 * q0_4_p0_4)) + (p1_5_p0_5 * q0_5_p0_5)));
double q1_0_p0_0 = (q1[0] - p0[0]);
double q1_1_p0_1 = (q1[1] - p0[1]);
double q1_2_p0_2 = (q1[2] - p0[2]);
double q1_3_p0_3 = (q1[3] - p0[3]);
double q1_4_p0_4 = (q1[4] - p0[4]);
double q1_5_p0_5 = (q1[5] - p0[5]);
double a11;
a11 = (2 * ((((((p1_0_p0_0 * q1_0_p0_0) + (p1_1_p0_1 * q1_1_p0_1)) + (p1_2_p0_2 * q1_2_p0_2)) + (p1_3_p0_3 * q1_3_p0_3)) + (p1_4_p0_4 * q1_4_p0_4)) + (p1_5_p0_5 * q1_5_p0_5)));
double q2_0_p0_0 = (q2[0] - p0[0]);
double q2_1_p0_1 = (q2[1] - p0[1]);
double q2_2_p0_2 = (q2[2] - p0[2]);
double q2_3_p0_3 = (q2[3] - p0[3]);
double q2_4_p0_4 = (q2[4] - p0[4]);
double q2_5_p0_5 = (q2[5] - p0[5]);
double a12;
a12 = (2 * ((((((p1_0_p0_0 * q2_0_p0_0) + (p1_1_p0_1 * q2_1_p0_1)) + (p1_2_p0_2 * q2_2_p0_2)) + (p1_3_p0_3 * q2_3_p0_3)) + (p1_4_p0_4 * q2_4_p0_4)) + (p1_5_p0_5 * q2_5_p0_5)));
double q3_0_p0_0 = (q3[0] - p0[0]);
double q3_1_p0_1 = (q3[1] - p0[1]);
double q3_2_p0_2 = (q3[2] - p0[2]);
double q3_3_p0_3 = (q3[3] - p0[3]);
double q3_4_p0_4 = (q3[4] - p0[4]);
double q3_5_p0_5 = (q3[5] - p0[5]);
double a13;
a13 = (2 * ((((((p1_0_p0_0 * q3_0_p0_0) + (p1_1_p0_1 * q3_1_p0_1)) + (p1_2_p0_2 * q3_2_p0_2)) + (p1_3_p0_3 * q3_3_p0_3)) + (p1_4_p0_4 * q3_4_p0_4)) + (p1_5_p0_5 * q3_5_p0_5)));
double a20;
a20 = (2 * ((((((p2_0_p0_0 * q0_0_p0_0) + (p2_1_p0_1 * q0_1_p0_1)) + (p2_2_p0_2 * q0_2_p0_2)) + (p2_3_p0_3 * q0_3_p0_3)) + (p2_4_p0_4 * q0_4_p0_4)) + (p2_5_p0_5 * q0_5_p0_5)));
double a21;
a21 = (2 * ((((((p2_0_p0_0 * q1_0_p0_0) + (p2_1_p0_1 * q1_1_p0_1)) + (p2_2_p0_2 * q1_2_p0_2)) + (p2_3_p0_3 * q1_3_p0_3)) + (p2_4_p0_4 * q1_4_p0_4)) + (p2_5_p0_5 * q1_5_p0_5)));
double a22;
a22 = (2 * ((((((p2_0_p0_0 * q2_0_p0_0) + (p2_1_p0_1 * q2_1_p0_1)) + (p2_2_p0_2 * q2_2_p0_2)) + (p2_3_p0_3 * q2_3_p0_3)) + (p2_4_p0_4 * q2_4_p0_4)) + (p2_5_p0_5 * q2_5_p0_5)));
double a23;
a23 = (2 * ((((((p2_0_p0_0 * q3_0_p0_0) + (p2_1_p0_1 * q3_1_p0_1)) + (p2_2_p0_2 * q3_2_p0_2)) + (p2_3_p0_3 * q3_3_p0_3)) + (p2_4_p0_4 * q3_4_p0_4)) + (p2_5_p0_5 * q3_5_p0_5)));
double a30;
a30 = (2 * ((((((p3_0_p0_0 * q0_0_p0_0) + (p3_1_p0_1 * q0_1_p0_1)) + (p3_2_p0_2 * q0_2_p0_2)) + (p3_3_p0_3 * q0_3_p0_3)) + (p3_4_p0_4 * q0_4_p0_4)) + (p3_5_p0_5 * q0_5_p0_5)));
double a31;
a31 = (2 * ((((((p3_0_p0_0 * q1_0_p0_0) + (p3_1_p0_1 * q1_1_p0_1)) + (p3_2_p0_2 * q1_2_p0_2)) + (p3_3_p0_3 * q1_3_p0_3)) + (p3_4_p0_4 * q1_4_p0_4)) + (p3_5_p0_5 * q1_5_p0_5)));
double a32;
a32 = (2 * ((((((p3_0_p0_0 * q2_0_p0_0) + (p3_1_p0_1 * q2_1_p0_1)) + (p3_2_p0_2 * q2_2_p0_2)) + (p3_3_p0_3 * q2_3_p0_3)) + (p3_4_p0_4 * q2_4_p0_4)) + (p3_5_p0_5 * q2_5_p0_5)));
double a33;
a33 = (2 * ((((((p3_0_p0_0 * q3_0_p0_0) + (p3_1_p0_1 * q3_1_p0_1)) + (p3_2_p0_2 * q3_2_p0_2)) + (p3_3_p0_3 * q3_3_p0_3)) + (p3_4_p0_4 * q3_4_p0_4)) + (p3_5_p0_5 * q3_5_p0_5)));
double a40;
a40 = (2 * ((((((p4_0_p0_0 * q0_0_p0_0) + (p4_1_p0_1 * q0_1_p0_1)) + (p4_2_p0_2 * q0_2_p0_2)) + (p4_3_p0_3 * q0_3_p0_3)) + (p4_4_p0_4 * q0_4_p0_4)) + (p4_5_p0_5 * q0_5_p0_5)));
double a41;
a41 = (2 * ((((((p4_0_p0_0 * q1_0_p0_0) + (p4_1_p0_1 * q1_1_p0_1)) + (p4_2_p0_2 * q1_2_p0_2)) + (p4_3_p0_3 * q1_3_p0_3)) + (p4_4_p0_4 * q1_4_p0_4)) + (p4_5_p0_5 * q1_5_p0_5)));
double a42;
a42 = (2 * ((((((p4_0_p0_0 * q2_0_p0_0) + (p4_1_p0_1 * q2_1_p0_1)) + (p4_2_p0_2 * q2_2_p0_2)) + (p4_3_p0_3 * q2_3_p0_3)) + (p4_4_p0_4 * q2_4_p0_4)) + (p4_5_p0_5 * q2_5_p0_5)));
double a43;
a43 = (2 * ((((((p4_0_p0_0 * q3_0_p0_0) + (p4_1_p0_1 * q3_1_p0_1)) + (p4_2_p0_2 * q3_2_p0_2)) + (p4_3_p0_3 * q3_3_p0_3)) + (p4_4_p0_4 * q3_4_p0_4)) + (p4_5_p0_5 * q3_5_p0_5)));
double b00;
b00 = (((a11 * ((a22 * a33) - (a23 * a32))) - (a21 * ((a12 * a33) - (a13 * a32)))) + (a31 * ((a12 * a23) - (a13 * a22))));
double b01;
b01 = -((((a22 * a33) - (a23 * a32)) + ((a23 * a31) - (a21 * a33))) + ((a21 * a32) - (a22 * a31)));
double b02;
b02 = ((((a12 * a33) - (a13 * a32)) + ((a13 * a31) - (a11 * a33))) + ((a11 * a32) - (a12 * a31)));
double b03;
b03 = -((((a12 * a23) - (a13 * a22)) + ((a13 * a21) - (a11 * a23))) + ((a11 * a22) - (a12 * a21)));
double b10;
b10 = -(((a10 * ((a22 * a33) - (a23 * a32))) - (a20 * ((a12 * a33) - (a13 * a32)))) + (a30 * ((a12 * a23) - (a13 * a22))));
double b11;
b11 = ((((a22 * a33) - (a23 * a32)) + ((a23 * a30) - (a20 * a33))) + ((a20 * a32) - (a22 * a30)));
double b12;
b12 = -((((a12 * a33) - (a13 * a32)) + ((a13 * a30) - (a10 * a33))) + ((a10 * a32) - (a12 * a30)));
double b13;
b13 = ((((a12 * a23) - (a13 * a22)) + ((a13 * a20) - (a10 * a23))) + ((a10 * a22) - (a12 * a20)));
double b20;
b20 = (((a10 * ((a21 * a33) - (a23 * a31))) - (a20 * ((a11 * a33) - (a13 * a31)))) + (a30 * ((a11 * a23) - (a13 * a21))));
double b21;
b21 = -((((a21 * a33) - (a23 * a31)) + ((a23 * a30) - (a20 * a33))) + ((a20 * a31) - (a21 * a30)));
double b22;
b22 = ((((a11 * a33) - (a13 * a31)) + ((a13 * a30) - (a10 * a33))) + ((a10 * a31) - (a11 * a30)));
double b23;
b23 = -((((a11 * a23) - (a13 * a21)) + ((a13 * a20) - (a10 * a23))) + ((a10 * a21) - (a11 * a20)));
double b30;
b30 = -(((a10 * ((a21 * a32) - (a22 * a31))) - (a20 * ((a11 * a32) - (a12 * a31)))) + (a30 * ((a11 * a22) - (a12 * a21))));
double b31;
b31 = ((((a21 * a32) - (a22 * a31)) + ((a22 * a30) - (a20 * a32))) + ((a20 * a31) - (a21 * a30)));
double b32;
b32 = -((((a11 * a32) - (a12 * a31)) + ((a12 * a30) - (a10 * a32))) + ((a10 * a31) - (a11 * a30)));
double b33;
b33 = ((((a11 * a22) - (a12 * a21)) + ((a12 * a20) - (a10 * a22))) + ((a10 * a21) - (a11 * a20)));
double Delta;
Delta = (((b00 + b10) + b20) + b30);
double DeltaLambda0;
DeltaLambda0 = ((((b01 * l1) + (b02 * l2)) + (b03 * l3)) + b00);
double DeltaLambda1;
DeltaLambda1 = ((((b11 * l1) + (b12 * l2)) + (b13 * l3)) + b10);
double DeltaLambda2;
DeltaLambda2 = ((((b21 * l1) + (b22 * l2)) + (b23 * l3)) + b20);
double DeltaLambda3;
DeltaLambda3 = ((((b31 * l1) + (b32 * l2)) + (b33 * l3)) + b30);
double r;
r = ((Delta * l4) - ((((a40 * DeltaLambda0) + (a41 * DeltaLambda1)) + (a42 * DeltaLambda2)) + (a43 * DeltaLambda3)));
double eps;
double max1 = fabs(p3_2_p0_2);
if( (max1 < fabs(p3_0_p0_0)) )
{
max1 = fabs(p3_0_p0_0);
}
if( (max1 < fabs(p3_3_p0_3)) )
{
max1 = fabs(p3_3_p0_3);
}
if( (max1 < fabs(p3_4_p0_4)) )
{
max1 = fabs(p3_4_p0_4);
}
if( (max1 < fabs(p3_1_p0_1)) )
{
max1 = fabs(p3_1_p0_1);
}
if( (max1 < fabs(p3_5_p0_5)) )
{
max1 = fabs(p3_5_p0_5);
}
double max2 = fabs(p2_1_p0_1);
if( (max2 < fabs(p2_4_p0_4)) )
{
max2 = fabs(p2_4_p0_4);
}
if( (max2 < fabs(p2_2_p0_2)) )
{
max2 = fabs(p2_2_p0_2);
}
if( (max2 < fabs(p2_0_p0_0)) )
{
max2 = fabs(p2_0_p0_0);
}
if( (max2 < fabs(p2_3_p0_3)) )
{
max2 = fabs(p2_3_p0_3);
}
if( (max2 < fabs(p2_5_p0_5)) )
{
max2 = fabs(p2_5_p0_5);
}
double max3 = fabs(p1_0_p0_0);
if( (max3 < fabs(p1_1_p0_1)) )
{
max3 = fabs(p1_1_p0_1);
}
if( (max3 < fabs(p1_2_p0_2)) )
{
max3 = fabs(p1_2_p0_2);
}
if( (max3 < fabs(p1_3_p0_3)) )
{
max3 = fabs(p1_3_p0_3);
}
if( (max3 < fabs(p1_4_p0_4)) )
{
max3 = fabs(p1_4_p0_4);
}
if( (max3 < fabs(p1_5_p0_5)) )
{
max3 = fabs(p1_5_p0_5);
}
double max4 = fabs(q0_0_p0_0);
if( (max4 < fabs(q0_1_p0_1)) )
{
max4 = fabs(q0_1_p0_1);
}
if( (max4 < fabs(q0_2_p0_2)) )
{
max4 = fabs(q0_2_p0_2);
}
if( (max4 < fabs(q0_3_p0_3)) )
{
max4 = fabs(q0_3_p0_3);
}
if( (max4 < fabs(q0_4_p0_4)) )
{
max4 = fabs(q0_4_p0_4);
}
if( (max4 < fabs(q0_5_p0_5)) )
{
max4 = fabs(q0_5_p0_5);
}
if( (max4 < fabs(q1_0_p0_0)) )
{
max4 = fabs(q1_0_p0_0);
}
if( (max4 < fabs(q1_1_p0_1)) )
{
max4 = fabs(q1_1_p0_1);
}
if( (max4 < fabs(q1_2_p0_2)) )
{
max4 = fabs(q1_2_p0_2);
}
if( (max4 < fabs(q1_3_p0_3)) )
{
max4 = fabs(q1_3_p0_3);
}
if( (max4 < fabs(q1_4_p0_4)) )
{
max4 = fabs(q1_4_p0_4);
}
if( (max4 < fabs(q1_5_p0_5)) )
{
max4 = fabs(q1_5_p0_5);
}
double max5 = fabs(q1_0_p0_0);
if( (max5 < fabs(q1_1_p0_1)) )
{
max5 = fabs(q1_1_p0_1);
}
if( (max5 < fabs(q1_2_p0_2)) )
{
max5 = fabs(q1_2_p0_2);
}
if( (max5 < fabs(q1_3_p0_3)) )
{
max5 = fabs(q1_3_p0_3);
}
if( (max5 < fabs(q1_4_p0_4)) )
{
max5 = fabs(q1_4_p0_4);
}
if( (max5 < fabs(q1_5_p0_5)) )
{
max5 = fabs(q1_5_p0_5);
}
if( (max5 < fabs(q2_0_p0_0)) )
{
max5 = fabs(q2_0_p0_0);
}
if( (max5 < fabs(q2_1_p0_1)) )
{
max5 = fabs(q2_1_p0_1);
}
if( (max5 < fabs(q2_2_p0_2)) )
{
max5 = fabs(q2_2_p0_2);
}
if( (max5 < fabs(q2_3_p0_3)) )
{
max5 = fabs(q2_3_p0_3);
}
if( (max5 < fabs(q2_4_p0_4)) )
{
max5 = fabs(q2_4_p0_4);
}
if( (max5 < fabs(q2_5_p0_5)) )
{
max5 = fabs(q2_5_p0_5);
}
double max6 = fabs(q2_0_p0_0);
if( (max6 < fabs(q2_1_p0_1)) )
{
max6 = fabs(q2_1_p0_1);
}
if( (max6 < fabs(q2_2_p0_2)) )
{
max6 = fabs(q2_2_p0_2);
}
if( (max6 < fabs(q2_3_p0_3)) )
{
max6 = fabs(q2_3_p0_3);
}
if( (max6 < fabs(q2_4_p0_4)) )
{
max6 = fabs(q2_4_p0_4);
}
if( (max6 < fabs(q2_5_p0_5)) )
{
max6 = fabs(q2_5_p0_5);
}
if( (max6 < fabs(q3_0_p0_0)) )
{
max6 = fabs(q3_0_p0_0);
}
if( (max6 < fabs(q3_1_p0_1)) )
{
max6 = fabs(q3_1_p0_1);
}
if( (max6 < fabs(q3_2_p0_2)) )
{
max6 = fabs(q3_2_p0_2);
}
if( (max6 < fabs(q3_3_p0_3)) )
{
max6 = fabs(q3_3_p0_3);
}
if( (max6 < fabs(q3_4_p0_4)) )
{
max6 = fabs(q3_4_p0_4);
}
if( (max6 < fabs(q3_5_p0_5)) )
{
max6 = fabs(q3_5_p0_5);
}
double lower_bound_1;
double upper_bound_1;
int Delta_sign;
int int_tmp_result;
lower_bound_1 = max4;
upper_bound_1 = max4;
if( (max1 < lower_bound_1) )
{
lower_bound_1 = max1;
}
else
{
if( (max1 > upper_bound_1) )
{
upper_bound_1 = max1;
}
}
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (max5 < lower_bound_1) )
{
lower_bound_1 = max5;
}
else
{
if( (max5 > upper_bound_1) )
{
upper_bound_1 = max5;
}
}
if( (max6 < lower_bound_1) )
{
lower_bound_1 = max6;
}
else
{
if( (max6 > upper_bound_1) )
{
upper_bound_1 = max6;
}
}
if( (lower_bound_1 < 3.31864264949884013629e-50) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 4.83570327845851562508e+24) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (1.66564133587113165316e-11 * (((((max3 * max4) * max2) * max5) * max1) * max6));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta_sign = int_tmp_result;
int int_tmp_result_FFWKCAA;
double max7 = max1;
if( (max7 < max2) )
{
max7 = max2;
}
if( (max7 < max3) )
{
max7 = max3;
}
double max8 = max3;
if( (max8 < fabs(p4_5_p0_5)) )
{
max8 = fabs(p4_5_p0_5);
}
if( (max8 < fabs(p4_0_p0_0)) )
{
max8 = fabs(p4_0_p0_0);
}
if( (max8 < fabs(p4_1_p0_1)) )
{
max8 = fabs(p4_1_p0_1);
}
if( (max8 < fabs(p4_2_p0_2)) )
{
max8 = fabs(p4_2_p0_2);
}
if( (max8 < fabs(p4_3_p0_3)) )
{
max8 = fabs(p4_3_p0_3);
}
if( (max8 < fabs(p4_4_p0_4)) )
{
max8 = fabs(p4_4_p0_4);
}
if( (max7 < max8) )
{
max7 = max8;
}
if( (max7 < max6) )
{
max7 = max6;
}
double max9 = max3;
if( (max9 < max8) )
{
max9 = max8;
}
if( (max9 < max5) )
{
max9 = max5;
}
double max10 = max4;
if( (max10 < max3) )
{
max10 = max3;
}
if( (max10 < max5) )
{
max10 = max5;
}
double max11 = max4;
if( (max11 < max5) )
{
max11 = max5;
}
if( (max10 < max11) )
{
max10 = max11;
}
if( (max10 < max6) )
{
max10 = max6;
}
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
if( (max7 < lower_bound_1) )
{
lower_bound_1 = max7;
}
else
{
if( (max7 > upper_bound_1) )
{
upper_bound_1 = max7;
}
}
if( (max8 < lower_bound_1) )
{
lower_bound_1 = max8;
}
if( (max9 < lower_bound_1) )
{
lower_bound_1 = max9;
}
else
{
if( (max9 > upper_bound_1) )
{
upper_bound_1 = max9;
}
}
if( (max10 < lower_bound_1) )
{
lower_bound_1 = max10;
}
else
{
if( (max10 > upper_bound_1) )
{
upper_bound_1 = max10;
}
}
if( (max11 < lower_bound_1) )
{
lower_bound_1 = max11;
}
else
{
if( (max11 > upper_bound_1) )
{
upper_bound_1 = max11;
}
}
if( (lower_bound_1 < 4.87975611107819181771e-38) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 4.83570327845851562508e+24) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (6.92085098542795335117e-10 * (((((((max8 * max11) * max2) * max10) * max1) * max10) * max9) * max7));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return (Delta_sign * int_tmp_result_FFWKCAA);
}
inline int side4_7d_filter( const double* p0, const double* p1, const double* p2, const double* p3, const double* p4, const double* q0, const double* q1, const double* q2, const double* q3) {
double p1_0_p0_0 = (p1[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double p1_3_p0_3 = (p1[3] - p0[3]);
double p1_4_p0_4 = (p1[4] - p0[4]);
double p1_5_p0_5 = (p1[5] - p0[5]);
double p1_6_p0_6 = (p1[6] - p0[6]);
double l1;
l1 = (1 * (((((((p1_0_p0_0 * p1_0_p0_0) + (p1_1_p0_1 * p1_1_p0_1)) + (p1_2_p0_2 * p1_2_p0_2)) + (p1_3_p0_3 * p1_3_p0_3)) + (p1_4_p0_4 * p1_4_p0_4)) + (p1_5_p0_5 * p1_5_p0_5)) + (p1_6_p0_6 * p1_6_p0_6)));
double p2_0_p0_0 = (p2[0] - p0[0]);
double p2_1_p0_1 = (p2[1] - p0[1]);
double p2_2_p0_2 = (p2[2] - p0[2]);
double p2_3_p0_3 = (p2[3] - p0[3]);
double p2_4_p0_4 = (p2[4] - p0[4]);
double p2_5_p0_5 = (p2[5] - p0[5]);
double p2_6_p0_6 = (p2[6] - p0[6]);
double l2;
l2 = (1 * (((((((p2_0_p0_0 * p2_0_p0_0) + (p2_1_p0_1 * p2_1_p0_1)) + (p2_2_p0_2 * p2_2_p0_2)) + (p2_3_p0_3 * p2_3_p0_3)) + (p2_4_p0_4 * p2_4_p0_4)) + (p2_5_p0_5 * p2_5_p0_5)) + (p2_6_p0_6 * p2_6_p0_6)));
double p3_0_p0_0 = (p3[0] - p0[0]);
double p3_1_p0_1 = (p3[1] - p0[1]);
double p3_2_p0_2 = (p3[2] - p0[2]);
double p3_3_p0_3 = (p3[3] - p0[3]);
double p3_4_p0_4 = (p3[4] - p0[4]);
double p3_5_p0_5 = (p3[5] - p0[5]);
double p3_6_p0_6 = (p3[6] - p0[6]);
double l3;
l3 = (1 * (((((((p3_0_p0_0 * p3_0_p0_0) + (p3_1_p0_1 * p3_1_p0_1)) + (p3_2_p0_2 * p3_2_p0_2)) + (p3_3_p0_3 * p3_3_p0_3)) + (p3_4_p0_4 * p3_4_p0_4)) + (p3_5_p0_5 * p3_5_p0_5)) + (p3_6_p0_6 * p3_6_p0_6)));
double p4_0_p0_0 = (p4[0] - p0[0]);
double p4_1_p0_1 = (p4[1] - p0[1]);
double p4_2_p0_2 = (p4[2] - p0[2]);
double p4_3_p0_3 = (p4[3] - p0[3]);
double p4_4_p0_4 = (p4[4] - p0[4]);
double p4_5_p0_5 = (p4[5] - p0[5]);
double p4_6_p0_6 = (p4[6] - p0[6]);
double l4;
l4 = (1 * (((((((p4_0_p0_0 * p4_0_p0_0) + (p4_1_p0_1 * p4_1_p0_1)) + (p4_2_p0_2 * p4_2_p0_2)) + (p4_3_p0_3 * p4_3_p0_3)) + (p4_4_p0_4 * p4_4_p0_4)) + (p4_5_p0_5 * p4_5_p0_5)) + (p4_6_p0_6 * p4_6_p0_6)));
double q0_0_p0_0 = (q0[0] - p0[0]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double q0_3_p0_3 = (q0[3] - p0[3]);
double q0_4_p0_4 = (q0[4] - p0[4]);
double q0_5_p0_5 = (q0[5] - p0[5]);
double q0_6_p0_6 = (q0[6] - p0[6]);
double a10;
a10 = (2 * (((((((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)) + (p1_3_p0_3 * q0_3_p0_3)) + (p1_4_p0_4 * q0_4_p0_4)) + (p1_5_p0_5 * q0_5_p0_5)) + (p1_6_p0_6 * q0_6_p0_6)));
double q1_0_p0_0 = (q1[0] - p0[0]);
double q1_1_p0_1 = (q1[1] - p0[1]);
double q1_2_p0_2 = (q1[2] - p0[2]);
double q1_3_p0_3 = (q1[3] - p0[3]);
double q1_4_p0_4 = (q1[4] - p0[4]);
double q1_5_p0_5 = (q1[5] - p0[5]);
double q1_6_p0_6 = (q1[6] - p0[6]);
double a11;
a11 = (2 * (((((((p1_0_p0_0 * q1_0_p0_0) + (p1_1_p0_1 * q1_1_p0_1)) + (p1_2_p0_2 * q1_2_p0_2)) + (p1_3_p0_3 * q1_3_p0_3)) + (p1_4_p0_4 * q1_4_p0_4)) + (p1_5_p0_5 * q1_5_p0_5)) + (p1_6_p0_6 * q1_6_p0_6)));
double q2_0_p0_0 = (q2[0] - p0[0]);
double q2_1_p0_1 = (q2[1] - p0[1]);
double q2_2_p0_2 = (q2[2] - p0[2]);
double q2_3_p0_3 = (q2[3] - p0[3]);
double q2_4_p0_4 = (q2[4] - p0[4]);
double q2_5_p0_5 = (q2[5] - p0[5]);
double q2_6_p0_6 = (q2[6] - p0[6]);
double a12;
a12 = (2 * (((((((p1_0_p0_0 * q2_0_p0_0) + (p1_1_p0_1 * q2_1_p0_1)) + (p1_2_p0_2 * q2_2_p0_2)) + (p1_3_p0_3 * q2_3_p0_3)) + (p1_4_p0_4 * q2_4_p0_4)) + (p1_5_p0_5 * q2_5_p0_5)) + (p1_6_p0_6 * q2_6_p0_6)));
double q3_0_p0_0 = (q3[0] - p0[0]);
double q3_1_p0_1 = (q3[1] - p0[1]);
double q3_2_p0_2 = (q3[2] - p0[2]);
double q3_3_p0_3 = (q3[3] - p0[3]);
double q3_4_p0_4 = (q3[4] - p0[4]);
double q3_5_p0_5 = (q3[5] - p0[5]);
double q3_6_p0_6 = (q3[6] - p0[6]);
double a13;
a13 = (2 * (((((((p1_0_p0_0 * q3_0_p0_0) + (p1_1_p0_1 * q3_1_p0_1)) + (p1_2_p0_2 * q3_2_p0_2)) + (p1_3_p0_3 * q3_3_p0_3)) + (p1_4_p0_4 * q3_4_p0_4)) + (p1_5_p0_5 * q3_5_p0_5)) + (p1_6_p0_6 * q3_6_p0_6)));
double a20;
a20 = (2 * (((((((p2_0_p0_0 * q0_0_p0_0) + (p2_1_p0_1 * q0_1_p0_1)) + (p2_2_p0_2 * q0_2_p0_2)) + (p2_3_p0_3 * q0_3_p0_3)) + (p2_4_p0_4 * q0_4_p0_4)) + (p2_5_p0_5 * q0_5_p0_5)) + (p2_6_p0_6 * q0_6_p0_6)));
double a21;
a21 = (2 * (((((((p2_0_p0_0 * q1_0_p0_0) + (p2_1_p0_1 * q1_1_p0_1)) + (p2_2_p0_2 * q1_2_p0_2)) + (p2_3_p0_3 * q1_3_p0_3)) + (p2_4_p0_4 * q1_4_p0_4)) + (p2_5_p0_5 * q1_5_p0_5)) + (p2_6_p0_6 * q1_6_p0_6)));
double a22;
a22 = (2 * (((((((p2_0_p0_0 * q2_0_p0_0) + (p2_1_p0_1 * q2_1_p0_1)) + (p2_2_p0_2 * q2_2_p0_2)) + (p2_3_p0_3 * q2_3_p0_3)) + (p2_4_p0_4 * q2_4_p0_4)) + (p2_5_p0_5 * q2_5_p0_5)) + (p2_6_p0_6 * q2_6_p0_6)));
double a23;
a23 = (2 * (((((((p2_0_p0_0 * q3_0_p0_0) + (p2_1_p0_1 * q3_1_p0_1)) + (p2_2_p0_2 * q3_2_p0_2)) + (p2_3_p0_3 * q3_3_p0_3)) + (p2_4_p0_4 * q3_4_p0_4)) + (p2_5_p0_5 * q3_5_p0_5)) + (p2_6_p0_6 * q3_6_p0_6)));
double a30;
a30 = (2 * (((((((p3_0_p0_0 * q0_0_p0_0) + (p3_1_p0_1 * q0_1_p0_1)) + (p3_2_p0_2 * q0_2_p0_2)) + (p3_3_p0_3 * q0_3_p0_3)) + (p3_4_p0_4 * q0_4_p0_4)) + (p3_5_p0_5 * q0_5_p0_5)) + (p3_6_p0_6 * q0_6_p0_6)));
double a31;
a31 = (2 * (((((((p3_0_p0_0 * q1_0_p0_0) + (p3_1_p0_1 * q1_1_p0_1)) + (p3_2_p0_2 * q1_2_p0_2)) + (p3_3_p0_3 * q1_3_p0_3)) + (p3_4_p0_4 * q1_4_p0_4)) + (p3_5_p0_5 * q1_5_p0_5)) + (p3_6_p0_6 * q1_6_p0_6)));
double a32;
a32 = (2 * (((((((p3_0_p0_0 * q2_0_p0_0) + (p3_1_p0_1 * q2_1_p0_1)) + (p3_2_p0_2 * q2_2_p0_2)) + (p3_3_p0_3 * q2_3_p0_3)) + (p3_4_p0_4 * q2_4_p0_4)) + (p3_5_p0_5 * q2_5_p0_5)) + (p3_6_p0_6 * q2_6_p0_6)));
double a33;
a33 = (2 * (((((((p3_0_p0_0 * q3_0_p0_0) + (p3_1_p0_1 * q3_1_p0_1)) + (p3_2_p0_2 * q3_2_p0_2)) + (p3_3_p0_3 * q3_3_p0_3)) + (p3_4_p0_4 * q3_4_p0_4)) + (p3_5_p0_5 * q3_5_p0_5)) + (p3_6_p0_6 * q3_6_p0_6)));
double a40;
a40 = (2 * (((((((p4_0_p0_0 * q0_0_p0_0) + (p4_1_p0_1 * q0_1_p0_1)) + (p4_2_p0_2 * q0_2_p0_2)) + (p4_3_p0_3 * q0_3_p0_3)) + (p4_4_p0_4 * q0_4_p0_4)) + (p4_5_p0_5 * q0_5_p0_5)) + (p4_6_p0_6 * q0_6_p0_6)));
double a41;
a41 = (2 * (((((((p4_0_p0_0 * q1_0_p0_0) + (p4_1_p0_1 * q1_1_p0_1)) + (p4_2_p0_2 * q1_2_p0_2)) + (p4_3_p0_3 * q1_3_p0_3)) + (p4_4_p0_4 * q1_4_p0_4)) + (p4_5_p0_5 * q1_5_p0_5)) + (p4_6_p0_6 * q1_6_p0_6)));
double a42;
a42 = (2 * (((((((p4_0_p0_0 * q2_0_p0_0) + (p4_1_p0_1 * q2_1_p0_1)) + (p4_2_p0_2 * q2_2_p0_2)) + (p4_3_p0_3 * q2_3_p0_3)) + (p4_4_p0_4 * q2_4_p0_4)) + (p4_5_p0_5 * q2_5_p0_5)) + (p4_6_p0_6 * q2_6_p0_6)));
double a43;
a43 = (2 * (((((((p4_0_p0_0 * q3_0_p0_0) + (p4_1_p0_1 * q3_1_p0_1)) + (p4_2_p0_2 * q3_2_p0_2)) + (p4_3_p0_3 * q3_3_p0_3)) + (p4_4_p0_4 * q3_4_p0_4)) + (p4_5_p0_5 * q3_5_p0_5)) + (p4_6_p0_6 * q3_6_p0_6)));
double b00;
b00 = (((a11 * ((a22 * a33) - (a23 * a32))) - (a21 * ((a12 * a33) - (a13 * a32)))) + (a31 * ((a12 * a23) - (a13 * a22))));
double b01;
b01 = -((((a22 * a33) - (a23 * a32)) + ((a23 * a31) - (a21 * a33))) + ((a21 * a32) - (a22 * a31)));
double b02;
b02 = ((((a12 * a33) - (a13 * a32)) + ((a13 * a31) - (a11 * a33))) + ((a11 * a32) - (a12 * a31)));
double b03;
b03 = -((((a12 * a23) - (a13 * a22)) + ((a13 * a21) - (a11 * a23))) + ((a11 * a22) - (a12 * a21)));
double b10;
b10 = -(((a10 * ((a22 * a33) - (a23 * a32))) - (a20 * ((a12 * a33) - (a13 * a32)))) + (a30 * ((a12 * a23) - (a13 * a22))));
double b11;
b11 = ((((a22 * a33) - (a23 * a32)) + ((a23 * a30) - (a20 * a33))) + ((a20 * a32) - (a22 * a30)));
double b12;
b12 = -((((a12 * a33) - (a13 * a32)) + ((a13 * a30) - (a10 * a33))) + ((a10 * a32) - (a12 * a30)));
double b13;
b13 = ((((a12 * a23) - (a13 * a22)) + ((a13 * a20) - (a10 * a23))) + ((a10 * a22) - (a12 * a20)));
double b20;
b20 = (((a10 * ((a21 * a33) - (a23 * a31))) - (a20 * ((a11 * a33) - (a13 * a31)))) + (a30 * ((a11 * a23) - (a13 * a21))));
double b21;
b21 = -((((a21 * a33) - (a23 * a31)) + ((a23 * a30) - (a20 * a33))) + ((a20 * a31) - (a21 * a30)));
double b22;
b22 = ((((a11 * a33) - (a13 * a31)) + ((a13 * a30) - (a10 * a33))) + ((a10 * a31) - (a11 * a30)));
double b23;
b23 = -((((a11 * a23) - (a13 * a21)) + ((a13 * a20) - (a10 * a23))) + ((a10 * a21) - (a11 * a20)));
double b30;
b30 = -(((a10 * ((a21 * a32) - (a22 * a31))) - (a20 * ((a11 * a32) - (a12 * a31)))) + (a30 * ((a11 * a22) - (a12 * a21))));
double b31;
b31 = ((((a21 * a32) - (a22 * a31)) + ((a22 * a30) - (a20 * a32))) + ((a20 * a31) - (a21 * a30)));
double b32;
b32 = -((((a11 * a32) - (a12 * a31)) + ((a12 * a30) - (a10 * a32))) + ((a10 * a31) - (a11 * a30)));
double b33;
b33 = ((((a11 * a22) - (a12 * a21)) + ((a12 * a20) - (a10 * a22))) + ((a10 * a21) - (a11 * a20)));
double Delta;
Delta = (((b00 + b10) + b20) + b30);
double DeltaLambda0;
DeltaLambda0 = ((((b01 * l1) + (b02 * l2)) + (b03 * l3)) + b00);
double DeltaLambda1;
DeltaLambda1 = ((((b11 * l1) + (b12 * l2)) + (b13 * l3)) + b10);
double DeltaLambda2;
DeltaLambda2 = ((((b21 * l1) + (b22 * l2)) + (b23 * l3)) + b20);
double DeltaLambda3;
DeltaLambda3 = ((((b31 * l1) + (b32 * l2)) + (b33 * l3)) + b30);
double r;
r = ((Delta * l4) - ((((a40 * DeltaLambda0) + (a41 * DeltaLambda1)) + (a42 * DeltaLambda2)) + (a43 * DeltaLambda3)));
double eps;
double max1 = fabs(p1_0_p0_0);
if( (max1 < fabs(p1_1_p0_1)) )
{
max1 = fabs(p1_1_p0_1);
}
if( (max1 < fabs(p1_2_p0_2)) )
{
max1 = fabs(p1_2_p0_2);
}
if( (max1 < fabs(p1_3_p0_3)) )
{
max1 = fabs(p1_3_p0_3);
}
if( (max1 < fabs(p1_4_p0_4)) )
{
max1 = fabs(p1_4_p0_4);
}
if( (max1 < fabs(p1_5_p0_5)) )
{
max1 = fabs(p1_5_p0_5);
}
if( (max1 < fabs(p1_6_p0_6)) )
{
max1 = fabs(p1_6_p0_6);
}
double max2 = fabs(p3_0_p0_0);
if( (max2 < fabs(p3_4_p0_4)) )
{
max2 = fabs(p3_4_p0_4);
}
if( (max2 < fabs(p3_2_p0_2)) )
{
max2 = fabs(p3_2_p0_2);
}
if( (max2 < fabs(p3_1_p0_1)) )
{
max2 = fabs(p3_1_p0_1);
}
if( (max2 < fabs(p3_3_p0_3)) )
{
max2 = fabs(p3_3_p0_3);
}
if( (max2 < fabs(p3_5_p0_5)) )
{
max2 = fabs(p3_5_p0_5);
}
if( (max2 < fabs(p3_6_p0_6)) )
{
max2 = fabs(p3_6_p0_6);
}
double max3 = fabs(p2_5_p0_5);
if( (max3 < fabs(p2_2_p0_2)) )
{
max3 = fabs(p2_2_p0_2);
}
if( (max3 < fabs(p2_3_p0_3)) )
{
max3 = fabs(p2_3_p0_3);
}
if( (max3 < fabs(p2_0_p0_0)) )
{
max3 = fabs(p2_0_p0_0);
}
if( (max3 < fabs(p2_1_p0_1)) )
{
max3 = fabs(p2_1_p0_1);
}
if( (max3 < fabs(p2_6_p0_6)) )
{
max3 = fabs(p2_6_p0_6);
}
if( (max3 < fabs(p2_4_p0_4)) )
{
max3 = fabs(p2_4_p0_4);
}
double max4 = fabs(q0_0_p0_0);
if( (max4 < fabs(q0_1_p0_1)) )
{
max4 = fabs(q0_1_p0_1);
}
if( (max4 < fabs(q0_2_p0_2)) )
{
max4 = fabs(q0_2_p0_2);
}
if( (max4 < fabs(q0_3_p0_3)) )
{
max4 = fabs(q0_3_p0_3);
}
if( (max4 < fabs(q0_4_p0_4)) )
{
max4 = fabs(q0_4_p0_4);
}
if( (max4 < fabs(q0_5_p0_5)) )
{
max4 = fabs(q0_5_p0_5);
}
if( (max4 < fabs(q0_6_p0_6)) )
{
max4 = fabs(q0_6_p0_6);
}
if( (max4 < fabs(q1_0_p0_0)) )
{
max4 = fabs(q1_0_p0_0);
}
if( (max4 < fabs(q1_1_p0_1)) )
{
max4 = fabs(q1_1_p0_1);
}
if( (max4 < fabs(q1_2_p0_2)) )
{
max4 = fabs(q1_2_p0_2);
}
if( (max4 < fabs(q1_3_p0_3)) )
{
max4 = fabs(q1_3_p0_3);
}
if( (max4 < fabs(q1_4_p0_4)) )
{
max4 = fabs(q1_4_p0_4);
}
if( (max4 < fabs(q1_5_p0_5)) )
{
max4 = fabs(q1_5_p0_5);
}
if( (max4 < fabs(q1_6_p0_6)) )
{
max4 = fabs(q1_6_p0_6);
}
double max5 = fabs(q1_0_p0_0);
if( (max5 < fabs(q1_1_p0_1)) )
{
max5 = fabs(q1_1_p0_1);
}
if( (max5 < fabs(q1_2_p0_2)) )
{
max5 = fabs(q1_2_p0_2);
}
if( (max5 < fabs(q1_3_p0_3)) )
{
max5 = fabs(q1_3_p0_3);
}
if( (max5 < fabs(q1_4_p0_4)) )
{
max5 = fabs(q1_4_p0_4);
}
if( (max5 < fabs(q1_5_p0_5)) )
{
max5 = fabs(q1_5_p0_5);
}
if( (max5 < fabs(q1_6_p0_6)) )
{
max5 = fabs(q1_6_p0_6);
}
if( (max5 < fabs(q2_0_p0_0)) )
{
max5 = fabs(q2_0_p0_0);
}
if( (max5 < fabs(q2_1_p0_1)) )
{
max5 = fabs(q2_1_p0_1);
}
if( (max5 < fabs(q2_2_p0_2)) )
{
max5 = fabs(q2_2_p0_2);
}
if( (max5 < fabs(q2_3_p0_3)) )
{
max5 = fabs(q2_3_p0_3);
}
if( (max5 < fabs(q2_4_p0_4)) )
{
max5 = fabs(q2_4_p0_4);
}
if( (max5 < fabs(q2_5_p0_5)) )
{
max5 = fabs(q2_5_p0_5);
}
if( (max5 < fabs(q2_6_p0_6)) )
{
max5 = fabs(q2_6_p0_6);
}
double max6 = fabs(q2_0_p0_0);
if( (max6 < fabs(q2_1_p0_1)) )
{
max6 = fabs(q2_1_p0_1);
}
if( (max6 < fabs(q2_2_p0_2)) )
{
max6 = fabs(q2_2_p0_2);
}
if( (max6 < fabs(q2_3_p0_3)) )
{
max6 = fabs(q2_3_p0_3);
}
if( (max6 < fabs(q2_4_p0_4)) )
{
max6 = fabs(q2_4_p0_4);
}
if( (max6 < fabs(q2_5_p0_5)) )
{
max6 = fabs(q2_5_p0_5);
}
if( (max6 < fabs(q2_6_p0_6)) )
{
max6 = fabs(q2_6_p0_6);
}
if( (max6 < fabs(q3_0_p0_0)) )
{
max6 = fabs(q3_0_p0_0);
}
if( (max6 < fabs(q3_1_p0_1)) )
{
max6 = fabs(q3_1_p0_1);
}
if( (max6 < fabs(q3_2_p0_2)) )
{
max6 = fabs(q3_2_p0_2);
}
if( (max6 < fabs(q3_3_p0_3)) )
{
max6 = fabs(q3_3_p0_3);
}
if( (max6 < fabs(q3_4_p0_4)) )
{
max6 = fabs(q3_4_p0_4);
}
if( (max6 < fabs(q3_5_p0_5)) )
{
max6 = fabs(q3_5_p0_5);
}
if( (max6 < fabs(q3_6_p0_6)) )
{
max6 = fabs(q3_6_p0_6);
}
double lower_bound_1;
double upper_bound_1;
int Delta_sign;
int int_tmp_result;
lower_bound_1 = max3;
upper_bound_1 = max3;
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
else
{
if( (max4 > upper_bound_1) )
{
upper_bound_1 = max4;
}
}
if( (max1 < lower_bound_1) )
{
lower_bound_1 = max1;
}
else
{
if( (max1 > upper_bound_1) )
{
upper_bound_1 = max1;
}
}
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (max5 < lower_bound_1) )
{
lower_bound_1 = max5;
}
else
{
if( (max5 > upper_bound_1) )
{
upper_bound_1 = max5;
}
}
if( (max6 < lower_bound_1) )
{
lower_bound_1 = max6;
}
else
{
if( (max6 > upper_bound_1) )
{
upper_bound_1 = max6;
}
}
if( (lower_bound_1 < 3.04548303565602498901e-50) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 4.83570327845851562508e+24) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (2.78873548804336160566e-11 * (((((max1 * max4) * max3) * max5) * max2) * max6));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta_sign = int_tmp_result;
int int_tmp_result_FFWKCAA;
double max7 = max3;
if( (max7 < max1) )
{
max7 = max1;
}
if( (max7 < max2) )
{
max7 = max2;
}
if( (max7 < max6) )
{
max7 = max6;
}
double max8 = max1;
if( (max8 < fabs(p4_4_p0_4)) )
{
max8 = fabs(p4_4_p0_4);
}
if( (max8 < fabs(p4_1_p0_1)) )
{
max8 = fabs(p4_1_p0_1);
}
if( (max8 < fabs(p4_5_p0_5)) )
{
max8 = fabs(p4_5_p0_5);
}
if( (max8 < fabs(p4_0_p0_0)) )
{
max8 = fabs(p4_0_p0_0);
}
if( (max8 < fabs(p4_2_p0_2)) )
{
max8 = fabs(p4_2_p0_2);
}
if( (max8 < fabs(p4_3_p0_3)) )
{
max8 = fabs(p4_3_p0_3);
}
if( (max8 < fabs(p4_6_p0_6)) )
{
max8 = fabs(p4_6_p0_6);
}
if( (max7 < max8) )
{
max7 = max8;
}
double max9 = max1;
if( (max9 < max5) )
{
max9 = max5;
}
if( (max9 < max8) )
{
max9 = max8;
}
double max10 = max4;
if( (max10 < max1) )
{
max10 = max1;
}
if( (max10 < max5) )
{
max10 = max5;
}
if( (max10 < max6) )
{
max10 = max6;
}
double max11 = max4;
if( (max11 < max5) )
{
max11 = max5;
}
if( (max10 < max11) )
{
max10 = max11;
}
lower_bound_1 = max3;
upper_bound_1 = max3;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
if( (max7 < lower_bound_1) )
{
lower_bound_1 = max7;
}
else
{
if( (max7 > upper_bound_1) )
{
upper_bound_1 = max7;
}
}
if( (max8 < lower_bound_1) )
{
lower_bound_1 = max8;
}
if( (max9 < lower_bound_1) )
{
lower_bound_1 = max9;
}
else
{
if( (max9 > upper_bound_1) )
{
upper_bound_1 = max9;
}
}
if( (max10 < lower_bound_1) )
{
lower_bound_1 = max10;
}
else
{
if( (max10 > upper_bound_1) )
{
upper_bound_1 = max10;
}
}
if( (max11 < lower_bound_1) )
{
lower_bound_1 = max11;
}
else
{
if( (max11 > upper_bound_1) )
{
upper_bound_1 = max11;
}
}
if( (lower_bound_1 < 4.48906690519700369396e-38) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 4.83570327845851562508e+24) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (1.34926049830188433875e-09 * (((((((max8 * max11) * max3) * max10) * max2) * max10) * max9) * max7));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return (Delta_sign * int_tmp_result_FFWKCAA);
}
inline int side4_8d_filter( const double* p0, const double* p1, const double* p2, const double* p3, const double* p4, const double* q0, const double* q1, const double* q2, const double* q3) {
double p1_0_p0_0 = (p1[0] - p0[0]);
double p1_1_p0_1 = (p1[1] - p0[1]);
double p1_2_p0_2 = (p1[2] - p0[2]);
double p1_3_p0_3 = (p1[3] - p0[3]);
double p1_4_p0_4 = (p1[4] - p0[4]);
double p1_5_p0_5 = (p1[5] - p0[5]);
double p1_6_p0_6 = (p1[6] - p0[6]);
double p1_7_p0_7 = (p1[7] - p0[7]);
double l1;
l1 = (1 * ((((((((p1_0_p0_0 * p1_0_p0_0) + (p1_1_p0_1 * p1_1_p0_1)) + (p1_2_p0_2 * p1_2_p0_2)) + (p1_3_p0_3 * p1_3_p0_3)) + (p1_4_p0_4 * p1_4_p0_4)) + (p1_5_p0_5 * p1_5_p0_5)) + (p1_6_p0_6 * p1_6_p0_6)) + (p1_7_p0_7 * p1_7_p0_7)));
double p2_0_p0_0 = (p2[0] - p0[0]);
double p2_1_p0_1 = (p2[1] - p0[1]);
double p2_2_p0_2 = (p2[2] - p0[2]);
double p2_3_p0_3 = (p2[3] - p0[3]);
double p2_4_p0_4 = (p2[4] - p0[4]);
double p2_5_p0_5 = (p2[5] - p0[5]);
double p2_6_p0_6 = (p2[6] - p0[6]);
double p2_7_p0_7 = (p2[7] - p0[7]);
double l2;
l2 = (1 * ((((((((p2_0_p0_0 * p2_0_p0_0) + (p2_1_p0_1 * p2_1_p0_1)) + (p2_2_p0_2 * p2_2_p0_2)) + (p2_3_p0_3 * p2_3_p0_3)) + (p2_4_p0_4 * p2_4_p0_4)) + (p2_5_p0_5 * p2_5_p0_5)) + (p2_6_p0_6 * p2_6_p0_6)) + (p2_7_p0_7 * p2_7_p0_7)));
double p3_0_p0_0 = (p3[0] - p0[0]);
double p3_1_p0_1 = (p3[1] - p0[1]);
double p3_2_p0_2 = (p3[2] - p0[2]);
double p3_3_p0_3 = (p3[3] - p0[3]);
double p3_4_p0_4 = (p3[4] - p0[4]);
double p3_5_p0_5 = (p3[5] - p0[5]);
double p3_6_p0_6 = (p3[6] - p0[6]);
double p3_7_p0_7 = (p3[7] - p0[7]);
double l3;
l3 = (1 * ((((((((p3_0_p0_0 * p3_0_p0_0) + (p3_1_p0_1 * p3_1_p0_1)) + (p3_2_p0_2 * p3_2_p0_2)) + (p3_3_p0_3 * p3_3_p0_3)) + (p3_4_p0_4 * p3_4_p0_4)) + (p3_5_p0_5 * p3_5_p0_5)) + (p3_6_p0_6 * p3_6_p0_6)) + (p3_7_p0_7 * p3_7_p0_7)));
double p4_0_p0_0 = (p4[0] - p0[0]);
double p4_1_p0_1 = (p4[1] - p0[1]);
double p4_2_p0_2 = (p4[2] - p0[2]);
double p4_3_p0_3 = (p4[3] - p0[3]);
double p4_4_p0_4 = (p4[4] - p0[4]);
double p4_5_p0_5 = (p4[5] - p0[5]);
double p4_6_p0_6 = (p4[6] - p0[6]);
double p4_7_p0_7 = (p4[7] - p0[7]);
double l4;
l4 = (1 * ((((((((p4_0_p0_0 * p4_0_p0_0) + (p4_1_p0_1 * p4_1_p0_1)) + (p4_2_p0_2 * p4_2_p0_2)) + (p4_3_p0_3 * p4_3_p0_3)) + (p4_4_p0_4 * p4_4_p0_4)) + (p4_5_p0_5 * p4_5_p0_5)) + (p4_6_p0_6 * p4_6_p0_6)) + (p4_7_p0_7 * p4_7_p0_7)));
double q0_0_p0_0 = (q0[0] - p0[0]);
double q0_1_p0_1 = (q0[1] - p0[1]);
double q0_2_p0_2 = (q0[2] - p0[2]);
double q0_3_p0_3 = (q0[3] - p0[3]);
double q0_4_p0_4 = (q0[4] - p0[4]);
double q0_5_p0_5 = (q0[5] - p0[5]);
double q0_6_p0_6 = (q0[6] - p0[6]);
double q0_7_p0_7 = (q0[7] - p0[7]);
double a10;
a10 = (2 * ((((((((p1_0_p0_0 * q0_0_p0_0) + (p1_1_p0_1 * q0_1_p0_1)) + (p1_2_p0_2 * q0_2_p0_2)) + (p1_3_p0_3 * q0_3_p0_3)) + (p1_4_p0_4 * q0_4_p0_4)) + (p1_5_p0_5 * q0_5_p0_5)) + (p1_6_p0_6 * q0_6_p0_6)) + (p1_7_p0_7 * q0_7_p0_7)));
double q1_0_p0_0 = (q1[0] - p0[0]);
double q1_1_p0_1 = (q1[1] - p0[1]);
double q1_2_p0_2 = (q1[2] - p0[2]);
double q1_3_p0_3 = (q1[3] - p0[3]);
double q1_4_p0_4 = (q1[4] - p0[4]);
double q1_5_p0_5 = (q1[5] - p0[5]);
double q1_6_p0_6 = (q1[6] - p0[6]);
double q1_7_p0_7 = (q1[7] - p0[7]);
double a11;
a11 = (2 * ((((((((p1_0_p0_0 * q1_0_p0_0) + (p1_1_p0_1 * q1_1_p0_1)) + (p1_2_p0_2 * q1_2_p0_2)) + (p1_3_p0_3 * q1_3_p0_3)) + (p1_4_p0_4 * q1_4_p0_4)) + (p1_5_p0_5 * q1_5_p0_5)) + (p1_6_p0_6 * q1_6_p0_6)) + (p1_7_p0_7 * q1_7_p0_7)));
double q2_0_p0_0 = (q2[0] - p0[0]);
double q2_1_p0_1 = (q2[1] - p0[1]);
double q2_2_p0_2 = (q2[2] - p0[2]);
double q2_3_p0_3 = (q2[3] - p0[3]);
double q2_4_p0_4 = (q2[4] - p0[4]);
double q2_5_p0_5 = (q2[5] - p0[5]);
double q2_6_p0_6 = (q2[6] - p0[6]);
double q2_7_p0_7 = (q2[7] - p0[7]);
double a12;
a12 = (2 * ((((((((p1_0_p0_0 * q2_0_p0_0) + (p1_1_p0_1 * q2_1_p0_1)) + (p1_2_p0_2 * q2_2_p0_2)) + (p1_3_p0_3 * q2_3_p0_3)) + (p1_4_p0_4 * q2_4_p0_4)) + (p1_5_p0_5 * q2_5_p0_5)) + (p1_6_p0_6 * q2_6_p0_6)) + (p1_7_p0_7 * q2_7_p0_7)));
double q3_0_p0_0 = (q3[0] - p0[0]);
double q3_1_p0_1 = (q3[1] - p0[1]);
double q3_2_p0_2 = (q3[2] - p0[2]);
double q3_3_p0_3 = (q3[3] - p0[3]);
double q3_4_p0_4 = (q3[4] - p0[4]);
double q3_5_p0_5 = (q3[5] - p0[5]);
double q3_6_p0_6 = (q3[6] - p0[6]);
double q3_7_p0_7 = (q3[7] - p0[7]);
double a13;
a13 = (2 * ((((((((p1_0_p0_0 * q3_0_p0_0) + (p1_1_p0_1 * q3_1_p0_1)) + (p1_2_p0_2 * q3_2_p0_2)) + (p1_3_p0_3 * q3_3_p0_3)) + (p1_4_p0_4 * q3_4_p0_4)) + (p1_5_p0_5 * q3_5_p0_5)) + (p1_6_p0_6 * q3_6_p0_6)) + (p1_7_p0_7 * q3_7_p0_7)));
double a20;
a20 = (2 * ((((((((p2_0_p0_0 * q0_0_p0_0) + (p2_1_p0_1 * q0_1_p0_1)) + (p2_2_p0_2 * q0_2_p0_2)) + (p2_3_p0_3 * q0_3_p0_3)) + (p2_4_p0_4 * q0_4_p0_4)) + (p2_5_p0_5 * q0_5_p0_5)) + (p2_6_p0_6 * q0_6_p0_6)) + (p2_7_p0_7 * q0_7_p0_7)));
double a21;
a21 = (2 * ((((((((p2_0_p0_0 * q1_0_p0_0) + (p2_1_p0_1 * q1_1_p0_1)) + (p2_2_p0_2 * q1_2_p0_2)) + (p2_3_p0_3 * q1_3_p0_3)) + (p2_4_p0_4 * q1_4_p0_4)) + (p2_5_p0_5 * q1_5_p0_5)) + (p2_6_p0_6 * q1_6_p0_6)) + (p2_7_p0_7 * q1_7_p0_7)));
double a22;
a22 = (2 * ((((((((p2_0_p0_0 * q2_0_p0_0) + (p2_1_p0_1 * q2_1_p0_1)) + (p2_2_p0_2 * q2_2_p0_2)) + (p2_3_p0_3 * q2_3_p0_3)) + (p2_4_p0_4 * q2_4_p0_4)) + (p2_5_p0_5 * q2_5_p0_5)) + (p2_6_p0_6 * q2_6_p0_6)) + (p2_7_p0_7 * q2_7_p0_7)));
double a23;
a23 = (2 * ((((((((p2_0_p0_0 * q3_0_p0_0) + (p2_1_p0_1 * q3_1_p0_1)) + (p2_2_p0_2 * q3_2_p0_2)) + (p2_3_p0_3 * q3_3_p0_3)) + (p2_4_p0_4 * q3_4_p0_4)) + (p2_5_p0_5 * q3_5_p0_5)) + (p2_6_p0_6 * q3_6_p0_6)) + (p2_7_p0_7 * q3_7_p0_7)));
double a30;
a30 = (2 * ((((((((p3_0_p0_0 * q0_0_p0_0) + (p3_1_p0_1 * q0_1_p0_1)) + (p3_2_p0_2 * q0_2_p0_2)) + (p3_3_p0_3 * q0_3_p0_3)) + (p3_4_p0_4 * q0_4_p0_4)) + (p3_5_p0_5 * q0_5_p0_5)) + (p3_6_p0_6 * q0_6_p0_6)) + (p3_7_p0_7 * q0_7_p0_7)));
double a31;
a31 = (2 * ((((((((p3_0_p0_0 * q1_0_p0_0) + (p3_1_p0_1 * q1_1_p0_1)) + (p3_2_p0_2 * q1_2_p0_2)) + (p3_3_p0_3 * q1_3_p0_3)) + (p3_4_p0_4 * q1_4_p0_4)) + (p3_5_p0_5 * q1_5_p0_5)) + (p3_6_p0_6 * q1_6_p0_6)) + (p3_7_p0_7 * q1_7_p0_7)));
double a32;
a32 = (2 * ((((((((p3_0_p0_0 * q2_0_p0_0) + (p3_1_p0_1 * q2_1_p0_1)) + (p3_2_p0_2 * q2_2_p0_2)) + (p3_3_p0_3 * q2_3_p0_3)) + (p3_4_p0_4 * q2_4_p0_4)) + (p3_5_p0_5 * q2_5_p0_5)) + (p3_6_p0_6 * q2_6_p0_6)) + (p3_7_p0_7 * q2_7_p0_7)));
double a33;
a33 = (2 * ((((((((p3_0_p0_0 * q3_0_p0_0) + (p3_1_p0_1 * q3_1_p0_1)) + (p3_2_p0_2 * q3_2_p0_2)) + (p3_3_p0_3 * q3_3_p0_3)) + (p3_4_p0_4 * q3_4_p0_4)) + (p3_5_p0_5 * q3_5_p0_5)) + (p3_6_p0_6 * q3_6_p0_6)) + (p3_7_p0_7 * q3_7_p0_7)));
double a40;
a40 = (2 * ((((((((p4_0_p0_0 * q0_0_p0_0) + (p4_1_p0_1 * q0_1_p0_1)) + (p4_2_p0_2 * q0_2_p0_2)) + (p4_3_p0_3 * q0_3_p0_3)) + (p4_4_p0_4 * q0_4_p0_4)) + (p4_5_p0_5 * q0_5_p0_5)) + (p4_6_p0_6 * q0_6_p0_6)) + (p4_7_p0_7 * q0_7_p0_7)));
double a41;
a41 = (2 * ((((((((p4_0_p0_0 * q1_0_p0_0) + (p4_1_p0_1 * q1_1_p0_1)) + (p4_2_p0_2 * q1_2_p0_2)) + (p4_3_p0_3 * q1_3_p0_3)) + (p4_4_p0_4 * q1_4_p0_4)) + (p4_5_p0_5 * q1_5_p0_5)) + (p4_6_p0_6 * q1_6_p0_6)) + (p4_7_p0_7 * q1_7_p0_7)));
double a42;
a42 = (2 * ((((((((p4_0_p0_0 * q2_0_p0_0) + (p4_1_p0_1 * q2_1_p0_1)) + (p4_2_p0_2 * q2_2_p0_2)) + (p4_3_p0_3 * q2_3_p0_3)) + (p4_4_p0_4 * q2_4_p0_4)) + (p4_5_p0_5 * q2_5_p0_5)) + (p4_6_p0_6 * q2_6_p0_6)) + (p4_7_p0_7 * q2_7_p0_7)));
double a43;
a43 = (2 * ((((((((p4_0_p0_0 * q3_0_p0_0) + (p4_1_p0_1 * q3_1_p0_1)) + (p4_2_p0_2 * q3_2_p0_2)) + (p4_3_p0_3 * q3_3_p0_3)) + (p4_4_p0_4 * q3_4_p0_4)) + (p4_5_p0_5 * q3_5_p0_5)) + (p4_6_p0_6 * q3_6_p0_6)) + (p4_7_p0_7 * q3_7_p0_7)));
double b00;
b00 = (((a11 * ((a22 * a33) - (a23 * a32))) - (a21 * ((a12 * a33) - (a13 * a32)))) + (a31 * ((a12 * a23) - (a13 * a22))));
double b01;
b01 = -((((a22 * a33) - (a23 * a32)) + ((a23 * a31) - (a21 * a33))) + ((a21 * a32) - (a22 * a31)));
double b02;
b02 = ((((a12 * a33) - (a13 * a32)) + ((a13 * a31) - (a11 * a33))) + ((a11 * a32) - (a12 * a31)));
double b03;
b03 = -((((a12 * a23) - (a13 * a22)) + ((a13 * a21) - (a11 * a23))) + ((a11 * a22) - (a12 * a21)));
double b10;
b10 = -(((a10 * ((a22 * a33) - (a23 * a32))) - (a20 * ((a12 * a33) - (a13 * a32)))) + (a30 * ((a12 * a23) - (a13 * a22))));
double b11;
b11 = ((((a22 * a33) - (a23 * a32)) + ((a23 * a30) - (a20 * a33))) + ((a20 * a32) - (a22 * a30)));
double b12;
b12 = -((((a12 * a33) - (a13 * a32)) + ((a13 * a30) - (a10 * a33))) + ((a10 * a32) - (a12 * a30)));
double b13;
b13 = ((((a12 * a23) - (a13 * a22)) + ((a13 * a20) - (a10 * a23))) + ((a10 * a22) - (a12 * a20)));
double b20;
b20 = (((a10 * ((a21 * a33) - (a23 * a31))) - (a20 * ((a11 * a33) - (a13 * a31)))) + (a30 * ((a11 * a23) - (a13 * a21))));
double b21;
b21 = -((((a21 * a33) - (a23 * a31)) + ((a23 * a30) - (a20 * a33))) + ((a20 * a31) - (a21 * a30)));
double b22;
b22 = ((((a11 * a33) - (a13 * a31)) + ((a13 * a30) - (a10 * a33))) + ((a10 * a31) - (a11 * a30)));
double b23;
b23 = -((((a11 * a23) - (a13 * a21)) + ((a13 * a20) - (a10 * a23))) + ((a10 * a21) - (a11 * a20)));
double b30;
b30 = -(((a10 * ((a21 * a32) - (a22 * a31))) - (a20 * ((a11 * a32) - (a12 * a31)))) + (a30 * ((a11 * a22) - (a12 * a21))));
double b31;
b31 = ((((a21 * a32) - (a22 * a31)) + ((a22 * a30) - (a20 * a32))) + ((a20 * a31) - (a21 * a30)));
double b32;
b32 = -((((a11 * a32) - (a12 * a31)) + ((a12 * a30) - (a10 * a32))) + ((a10 * a31) - (a11 * a30)));
double b33;
b33 = ((((a11 * a22) - (a12 * a21)) + ((a12 * a20) - (a10 * a22))) + ((a10 * a21) - (a11 * a20)));
double Delta;
Delta = (((b00 + b10) + b20) + b30);
double DeltaLambda0;
DeltaLambda0 = ((((b01 * l1) + (b02 * l2)) + (b03 * l3)) + b00);
double DeltaLambda1;
DeltaLambda1 = ((((b11 * l1) + (b12 * l2)) + (b13 * l3)) + b10);
double DeltaLambda2;
DeltaLambda2 = ((((b21 * l1) + (b22 * l2)) + (b23 * l3)) + b20);
double DeltaLambda3;
DeltaLambda3 = ((((b31 * l1) + (b32 * l2)) + (b33 * l3)) + b30);
double r;
r = ((Delta * l4) - ((((a40 * DeltaLambda0) + (a41 * DeltaLambda1)) + (a42 * DeltaLambda2)) + (a43 * DeltaLambda3)));
double eps;
double max1 = fabs(p2_5_p0_5);
if( (max1 < fabs(p2_3_p0_3)) )
{
max1 = fabs(p2_3_p0_3);
}
if( (max1 < fabs(p2_0_p0_0)) )
{
max1 = fabs(p2_0_p0_0);
}
if( (max1 < fabs(p2_1_p0_1)) )
{
max1 = fabs(p2_1_p0_1);
}
if( (max1 < fabs(p2_6_p0_6)) )
{
max1 = fabs(p2_6_p0_6);
}
if( (max1 < fabs(p2_2_p0_2)) )
{
max1 = fabs(p2_2_p0_2);
}
if( (max1 < fabs(p2_4_p0_4)) )
{
max1 = fabs(p2_4_p0_4);
}
if( (max1 < fabs(p2_7_p0_7)) )
{
max1 = fabs(p2_7_p0_7);
}
double max2 = fabs(p1_4_p0_4);
if( (max2 < fabs(p1_3_p0_3)) )
{
max2 = fabs(p1_3_p0_3);
}
if( (max2 < fabs(p1_7_p0_7)) )
{
max2 = fabs(p1_7_p0_7);
}
if( (max2 < fabs(p1_0_p0_0)) )
{
max2 = fabs(p1_0_p0_0);
}
if( (max2 < fabs(p1_2_p0_2)) )
{
max2 = fabs(p1_2_p0_2);
}
if( (max2 < fabs(p1_5_p0_5)) )
{
max2 = fabs(p1_5_p0_5);
}
if( (max2 < fabs(p1_1_p0_1)) )
{
max2 = fabs(p1_1_p0_1);
}
if( (max2 < fabs(p1_6_p0_6)) )
{
max2 = fabs(p1_6_p0_6);
}
double max3 = fabs(p3_3_p0_3);
if( (max3 < fabs(p3_0_p0_0)) )
{
max3 = fabs(p3_0_p0_0);
}
if( (max3 < fabs(p3_1_p0_1)) )
{
max3 = fabs(p3_1_p0_1);
}
if( (max3 < fabs(p3_2_p0_2)) )
{
max3 = fabs(p3_2_p0_2);
}
if( (max3 < fabs(p3_4_p0_4)) )
{
max3 = fabs(p3_4_p0_4);
}
if( (max3 < fabs(p3_5_p0_5)) )
{
max3 = fabs(p3_5_p0_5);
}
if( (max3 < fabs(p3_6_p0_6)) )
{
max3 = fabs(p3_6_p0_6);
}
if( (max3 < fabs(p3_7_p0_7)) )
{
max3 = fabs(p3_7_p0_7);
}
double max4 = fabs(q0_0_p0_0);
if( (max4 < fabs(q0_1_p0_1)) )
{
max4 = fabs(q0_1_p0_1);
}
if( (max4 < fabs(q0_2_p0_2)) )
{
max4 = fabs(q0_2_p0_2);
}
if( (max4 < fabs(q0_3_p0_3)) )
{
max4 = fabs(q0_3_p0_3);
}
if( (max4 < fabs(q0_4_p0_4)) )
{
max4 = fabs(q0_4_p0_4);
}
if( (max4 < fabs(q0_5_p0_5)) )
{
max4 = fabs(q0_5_p0_5);
}
if( (max4 < fabs(q0_6_p0_6)) )
{
max4 = fabs(q0_6_p0_6);
}
if( (max4 < fabs(q0_7_p0_7)) )
{
max4 = fabs(q0_7_p0_7);
}
if( (max4 < fabs(q1_0_p0_0)) )
{
max4 = fabs(q1_0_p0_0);
}
if( (max4 < fabs(q1_1_p0_1)) )
{
max4 = fabs(q1_1_p0_1);
}
if( (max4 < fabs(q1_2_p0_2)) )
{
max4 = fabs(q1_2_p0_2);
}
if( (max4 < fabs(q1_3_p0_3)) )
{
max4 = fabs(q1_3_p0_3);
}
if( (max4 < fabs(q1_4_p0_4)) )
{
max4 = fabs(q1_4_p0_4);
}
if( (max4 < fabs(q1_5_p0_5)) )
{
max4 = fabs(q1_5_p0_5);
}
if( (max4 < fabs(q1_6_p0_6)) )
{
max4 = fabs(q1_6_p0_6);
}
if( (max4 < fabs(q1_7_p0_7)) )
{
max4 = fabs(q1_7_p0_7);
}
double max5 = fabs(q1_0_p0_0);
if( (max5 < fabs(q1_1_p0_1)) )
{
max5 = fabs(q1_1_p0_1);
}
if( (max5 < fabs(q1_2_p0_2)) )
{
max5 = fabs(q1_2_p0_2);
}
if( (max5 < fabs(q1_3_p0_3)) )
{
max5 = fabs(q1_3_p0_3);
}
if( (max5 < fabs(q1_4_p0_4)) )
{
max5 = fabs(q1_4_p0_4);
}
if( (max5 < fabs(q1_5_p0_5)) )
{
max5 = fabs(q1_5_p0_5);
}
if( (max5 < fabs(q1_6_p0_6)) )
{
max5 = fabs(q1_6_p0_6);
}
if( (max5 < fabs(q1_7_p0_7)) )
{
max5 = fabs(q1_7_p0_7);
}
if( (max5 < fabs(q2_0_p0_0)) )
{
max5 = fabs(q2_0_p0_0);
}
if( (max5 < fabs(q2_1_p0_1)) )
{
max5 = fabs(q2_1_p0_1);
}
if( (max5 < fabs(q2_2_p0_2)) )
{
max5 = fabs(q2_2_p0_2);
}
if( (max5 < fabs(q2_3_p0_3)) )
{
max5 = fabs(q2_3_p0_3);
}
if( (max5 < fabs(q2_4_p0_4)) )
{
max5 = fabs(q2_4_p0_4);
}
if( (max5 < fabs(q2_5_p0_5)) )
{
max5 = fabs(q2_5_p0_5);
}
if( (max5 < fabs(q2_6_p0_6)) )
{
max5 = fabs(q2_6_p0_6);
}
if( (max5 < fabs(q2_7_p0_7)) )
{
max5 = fabs(q2_7_p0_7);
}
double max6 = fabs(q2_0_p0_0);
if( (max6 < fabs(q2_1_p0_1)) )
{
max6 = fabs(q2_1_p0_1);
}
if( (max6 < fabs(q2_2_p0_2)) )
{
max6 = fabs(q2_2_p0_2);
}
if( (max6 < fabs(q2_3_p0_3)) )
{
max6 = fabs(q2_3_p0_3);
}
if( (max6 < fabs(q2_4_p0_4)) )
{
max6 = fabs(q2_4_p0_4);
}
if( (max6 < fabs(q2_5_p0_5)) )
{
max6 = fabs(q2_5_p0_5);
}
if( (max6 < fabs(q2_6_p0_6)) )
{
max6 = fabs(q2_6_p0_6);
}
if( (max6 < fabs(q2_7_p0_7)) )
{
max6 = fabs(q2_7_p0_7);
}
if( (max6 < fabs(q3_0_p0_0)) )
{
max6 = fabs(q3_0_p0_0);
}
if( (max6 < fabs(q3_1_p0_1)) )
{
max6 = fabs(q3_1_p0_1);
}
if( (max6 < fabs(q3_2_p0_2)) )
{
max6 = fabs(q3_2_p0_2);
}
if( (max6 < fabs(q3_3_p0_3)) )
{
max6 = fabs(q3_3_p0_3);
}
if( (max6 < fabs(q3_4_p0_4)) )
{
max6 = fabs(q3_4_p0_4);
}
if( (max6 < fabs(q3_5_p0_5)) )
{
max6 = fabs(q3_5_p0_5);
}
if( (max6 < fabs(q3_6_p0_6)) )
{
max6 = fabs(q3_6_p0_6);
}
if( (max6 < fabs(q3_7_p0_7)) )
{
max6 = fabs(q3_7_p0_7);
}
double lower_bound_1;
double upper_bound_1;
int Delta_sign;
int int_tmp_result;
lower_bound_1 = max4;
upper_bound_1 = max4;
if( (max1 < lower_bound_1) )
{
lower_bound_1 = max1;
}
else
{
if( (max1 > upper_bound_1) )
{
upper_bound_1 = max1;
}
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (max6 < lower_bound_1) )
{
lower_bound_1 = max6;
}
else
{
if( (max6 > upper_bound_1) )
{
upper_bound_1 = max6;
}
}
if( (max5 < lower_bound_1) )
{
lower_bound_1 = max5;
}
else
{
if( (max5 > upper_bound_1) )
{
upper_bound_1 = max5;
}
}
if( (lower_bound_1 < 2.82528483194754087282e-50) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 4.83570327845851562508e+24) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (4.37492894694731040560e-11 * (((((max2 * max4) * max1) * max5) * max3) * max6));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta_sign = int_tmp_result;
int int_tmp_result_FFWKCAA;
double max7 = max1;
if( (max7 < max3) )
{
max7 = max3;
}
double max8 = max2;
if( (max8 < fabs(p4_3_p0_3)) )
{
max8 = fabs(p4_3_p0_3);
}
if( (max8 < fabs(p4_1_p0_1)) )
{
max8 = fabs(p4_1_p0_1);
}
if( (max8 < fabs(p4_4_p0_4)) )
{
max8 = fabs(p4_4_p0_4);
}
if( (max8 < fabs(p4_0_p0_0)) )
{
max8 = fabs(p4_0_p0_0);
}
if( (max8 < fabs(p4_2_p0_2)) )
{
max8 = fabs(p4_2_p0_2);
}
if( (max8 < fabs(p4_5_p0_5)) )
{
max8 = fabs(p4_5_p0_5);
}
if( (max8 < fabs(p4_6_p0_6)) )
{
max8 = fabs(p4_6_p0_6);
}
if( (max8 < fabs(p4_7_p0_7)) )
{
max8 = fabs(p4_7_p0_7);
}
if( (max7 < max8) )
{
max7 = max8;
}
if( (max7 < max2) )
{
max7 = max2;
}
if( (max7 < max6) )
{
max7 = max6;
}
double max9 = max8;
if( (max9 < max2) )
{
max9 = max2;
}
if( (max9 < max5) )
{
max9 = max5;
}
double max10 = max4;
double max11 = max4;
if( (max11 < max5) )
{
max11 = max5;
}
if( (max10 < max11) )
{
max10 = max11;
}
if( (max10 < max2) )
{
max10 = max2;
}
if( (max10 < max6) )
{
max10 = max6;
}
if( (max10 < max5) )
{
max10 = max5;
}
lower_bound_1 = max11;
upper_bound_1 = max11;
if( (max9 < lower_bound_1) )
{
lower_bound_1 = max9;
}
else
{
if( (max9 > upper_bound_1) )
{
upper_bound_1 = max9;
}
}
if( (max7 < lower_bound_1) )
{
lower_bound_1 = max7;
}
else
{
if( (max7 > upper_bound_1) )
{
upper_bound_1 = max7;
}
}
if( (max1 < lower_bound_1) )
{
lower_bound_1 = max1;
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
if( (max8 < lower_bound_1) )
{
lower_bound_1 = max8;
}
if( (max10 < lower_bound_1) )
{
lower_bound_1 = max10;
}
else
{
if( (max10 > upper_bound_1) )
{
upper_bound_1 = max10;
}
}
if( (lower_bound_1 < 4.17402518597284772324e-38) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 4.83570327845851562508e+24) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (2.41492645607254025015e-09 * (((((((max8 * max11) * max1) * max10) * max3) * max10) * max9) * max7));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return (Delta_sign * int_tmp_result_FFWKCAA);
}
/******* extracted from predicates/side4h.h *******/
inline int side4h_3d_filter( const double* p0, const double* p1, const double* p2, const double* p3, const double* p4, double h0, double h1, double h2, double h3, double h4) {
double a11;
a11 = (p1[0] - p0[0]);
double a12;
a12 = (p1[1] - p0[1]);
double a13;
a13 = (p1[2] - p0[2]);
double a14;
a14 = (h0 - h1);
double a21;
a21 = (p2[0] - p0[0]);
double a22;
a22 = (p2[1] - p0[1]);
double a23;
a23 = (p2[2] - p0[2]);
double a24;
a24 = (h0 - h2);
double a31;
a31 = (p3[0] - p0[0]);
double a32;
a32 = (p3[1] - p0[1]);
double a33;
a33 = (p3[2] - p0[2]);
double a34;
a34 = (h0 - h3);
double a41;
a41 = (p4[0] - p0[0]);
double a42;
a42 = (p4[1] - p0[1]);
double a43;
a43 = (p4[2] - p0[2]);
double a44;
a44 = (h0 - h4);
double Delta1;
Delta1 = (((a21 * ((a32 * a43) - (a33 * a42))) - (a31 * ((a22 * a43) - (a23 * a42)))) + (a41 * ((a22 * a33) - (a23 * a32))));
double Delta2;
Delta2 = (((a11 * ((a32 * a43) - (a33 * a42))) - (a31 * ((a12 * a43) - (a13 * a42)))) + (a41 * ((a12 * a33) - (a13 * a32))));
double Delta3;
Delta3 = (((a11 * ((a22 * a43) - (a23 * a42))) - (a21 * ((a12 * a43) - (a13 * a42)))) + (a41 * ((a12 * a23) - (a13 * a22))));
double Delta4;
Delta4 = (((a11 * ((a22 * a33) - (a23 * a32))) - (a21 * ((a12 * a33) - (a13 * a32)))) + (a31 * ((a12 * a23) - (a13 * a22))));
double r;
r = ((((Delta1 * a14) - (Delta2 * a24)) + (Delta3 * a34)) - (Delta4 * a44));
double eps;
double max1 = fabs(a11);
if( (max1 < fabs(a21)) )
{
max1 = fabs(a21);
}
if( (max1 < fabs(a31)) )
{
max1 = fabs(a31);
}
double max2 = fabs(a12);
if( (max2 < fabs(a13)) )
{
max2 = fabs(a13);
}
if( (max2 < fabs(a22)) )
{
max2 = fabs(a22);
}
if( (max2 < fabs(a23)) )
{
max2 = fabs(a23);
}
double max3 = fabs(a22);
if( (max3 < fabs(a23)) )
{
max3 = fabs(a23);
}
if( (max3 < fabs(a32)) )
{
max3 = fabs(a32);
}
if( (max3 < fabs(a33)) )
{
max3 = fabs(a33);
}
double lower_bound_1;
double upper_bound_1;
int Delta4_sign;
int int_tmp_result;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (lower_bound_1 < 1.63288018496748314939e-98) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 7.23700557733225980357e+75) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (5.11071278299732992696e-15 * ((max2 * max3) * max1));
if( (Delta4 > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta4 < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
Delta4_sign = int_tmp_result;
int int_tmp_result_FFWKCAA;
double max4 = max1;
if( (max4 < fabs(a41)) )
{
max4 = fabs(a41);
}
double max5 = max2;
if( (max5 < max3) )
{
max5 = max3;
}
double max6 = fabs(a14);
if( (max6 < fabs(a24)) )
{
max6 = fabs(a24);
}
if( (max6 < fabs(a34)) )
{
max6 = fabs(a34);
}
if( (max6 < fabs(a44)) )
{
max6 = fabs(a44);
}
double max7 = max3;
if( (max7 < fabs(a42)) )
{
max7 = fabs(a42);
}
if( (max7 < fabs(a43)) )
{
max7 = fabs(a43);
}
lower_bound_1 = max4;
upper_bound_1 = max4;
if( (max5 < lower_bound_1) )
{
lower_bound_1 = max5;
}
else
{
if( (max5 > upper_bound_1) )
{
upper_bound_1 = max5;
}
}
if( (max6 < lower_bound_1) )
{
lower_bound_1 = max6;
}
else
{
if( (max6 > upper_bound_1) )
{
upper_bound_1 = max6;
}
}
if( (max7 < lower_bound_1) )
{
lower_bound_1 = max7;
}
else
{
if( (max7 > upper_bound_1) )
{
upper_bound_1 = max7;
}
}
if( (lower_bound_1 < 2.89273249588395194294e-74) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 7.23700557733225980357e+75) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (3.17768858673611390687e-14 * (((max5 * max7) * max4) * max6));
if( (r > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (r < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return (Delta4_sign * int_tmp_result_FFWKCAA);
}
/******* extracted from predicates/orient2d.h *******/
inline int orient_2d_filter( const double* p0, const double* p1, const double* p2) {
double a11;
a11 = (p1[0] - p0[0]);
double a12;
a12 = (p1[1] - p0[1]);
double a21;
a21 = (p2[0] - p0[0]);
double a22;
a22 = (p2[1] - p0[1]);
double Delta;
Delta = ((a11 * a22) - (a12 * a21));
int int_tmp_result;
double eps;
double max1 = fabs(a11);
if( (max1 < fabs(a12)) )
{
max1 = fabs(a12);
}
double max2 = fabs(a21);
if( (max2 < fabs(a22)) )
{
max2 = fabs(a22);
}
double lower_bound_1;
double upper_bound_1;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (lower_bound_1 < 5.00368081960964635413e-147) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.67597599124282407923e+153) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (8.88720573725927976811e-16 * (max1 * max2));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return int_tmp_result;
}
/******* extracted from predicates/orient3d.h *******/
inline int orient_3d_filter(const double* p0, const double* p1, const double* p2, const double* p3) {
double a11;
a11 = (p1[0] - p0[0]);
double a12;
a12 = (p1[1] - p0[1]);
double a13;
a13 = (p1[2] - p0[2]);
double a21;
a21 = (p2[0] - p0[0]);
double a22;
a22 = (p2[1] - p0[1]);
double a23;
a23 = (p2[2] - p0[2]);
double a31;
a31 = (p3[0] - p0[0]);
double a32;
a32 = (p3[1] - p0[1]);
double a33;
a33 = (p3[2] - p0[2]);
double Delta;
Delta = (((a11 * ((a22 * a33) - (a23 * a32))) - (a21 * ((a12 * a33) - (a13 * a32)))) + (a31 * ((a12 * a23) - (a13 * a22))));
int int_tmp_result;
double eps;
double max1 = fabs(a11);
if((max1 < fabs(a21)))
{
max1 = fabs(a21);
}
if((max1 < fabs(a31)))
{
max1 = fabs(a31);
}
double max2 = fabs(a12);
if((max2 < fabs(a13)))
{
max2 = fabs(a13);
}
if((max2 < fabs(a22)))
{
max2 = fabs(a22);
}
if((max2 < fabs(a23)))
{
max2 = fabs(a23);
}
double max3 = fabs(a22);
if((max3 < fabs(a23)))
{
max3 = fabs(a23);
}
if((max3 < fabs(a32)))
{
max3 = fabs(a32);
}
if((max3 < fabs(a33)))
{
max3 = fabs(a33);
}
double lower_bound_1;
double upper_bound_1;
lower_bound_1 = max1;
upper_bound_1 = max1;
if((max2 < lower_bound_1))
{
lower_bound_1 = max2;
}
else
{
if((max2 > upper_bound_1))
{
upper_bound_1 = max2;
}
}
if((max3 < lower_bound_1))
{
lower_bound_1 = max3;
}
else
{
if((max3 > upper_bound_1))
{
upper_bound_1 = max3;
}
}
if((lower_bound_1 < 1.63288018496748314939e-98))
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if((upper_bound_1 > 5.59936185544450928309e+101))
{
return FPG_UNCERTAIN_VALUE;
}
eps = (5.11071278299732992696e-15 * ((max2 * max3) * max1));
if((Delta > eps))
{
int_tmp_result = 1;
}
else
{
if((Delta < -eps))
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return int_tmp_result;
}
/******* extracted from predicates/dot3d.h *******/
inline int dot_3d_filter( const double* p0, const double* p1, const double* p2) {
double a11;
a11 = (p1[0] - p0[0]);
double a12;
a12 = (p1[1] - p0[1]);
double a13;
a13 = (p1[2] - p0[2]);
double a21;
a21 = (p2[0] - p0[0]);
double a22;
a22 = (p2[1] - p0[1]);
double a23;
a23 = (p2[2] - p0[2]);
double Delta;
Delta = (((a11 * a21) + (a12 * a22)) + (a13 * a23));
int int_tmp_result;
double eps;
double max1 = fabs(a11);
if( (max1 < fabs(a12)) )
{
max1 = fabs(a12);
}
if( (max1 < fabs(a13)) )
{
max1 = fabs(a13);
}
double max2 = fabs(a21);
if( (max2 < fabs(a22)) )
{
max2 = fabs(a22);
}
if( (max2 < fabs(a23)) )
{
max2 = fabs(a23);
}
double lower_bound_1;
double upper_bound_1;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (lower_bound_1 < 3.78232824369468524638e-147) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.67597599124282407923e+153) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (1.55534235888797977480e-15 * (max1 * max2));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return int_tmp_result;
}
/******* extracted from predicates/dot_compare_3d.h *******/
inline int dot_compare_3d_filter( const double* p0, const double* p1, const double* p2) {
double d1;
d1 = (((p0[0] * p1[0]) + (p0[1] * p1[1])) + (p0[2] * p1[2]));
double d2;
d2 = (((p0[0] * p2[0]) + (p0[1] * p2[1])) + (p0[2] * p2[2]));
int int_tmp_result;
double double_tmp_result;
double eps;
double_tmp_result = (d1 - d2);
double max1 = fabs(p0[0]);
if( (max1 < fabs(p0[1])) )
{
max1 = fabs(p0[1]);
}
if( (max1 < fabs(p0[2])) )
{
max1 = fabs(p0[2]);
}
double max2 = fabs(p1[0]);
if( (max2 < fabs(p1[1])) )
{
max2 = fabs(p1[1]);
}
if( (max2 < fabs(p1[2])) )
{
max2 = fabs(p1[2]);
}
if( (max2 < fabs(p2[0])) )
{
max2 = fabs(p2[0]);
}
if( (max2 < fabs(p2[1])) )
{
max2 = fabs(p2[1]);
}
if( (max2 < fabs(p2[2])) )
{
max2 = fabs(p2[2]);
}
double lower_bound_1;
double upper_bound_1;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (lower_bound_1 < 3.01698158319050667656e-147) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.67597599124282407923e+153) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (2.44455106181954323552e-15 * (max1 * max2));
if( (double_tmp_result > eps) )
{
int_tmp_result = 1;
}
else
{
if( (double_tmp_result < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return int_tmp_result;
}
/******* extracted from predicates/det_compare_4d.h *******/
inline int det_compare_4d_filter( const double* p0, const double* p1, const double* p2, const double* p3, const double* p4) {
double a3_0;
a3_0 = (p4[0] - p3[0]);
double a3_1;
a3_1 = (p4[1] - p3[1]);
double a3_2;
a3_2 = (p4[2] - p3[2]);
double a3_3;
a3_3 = (p4[3] - p3[3]);
double m12;
m12 = ((p1[0] * p0[1]) - (p0[0] * p1[1]));
double m13;
m13 = ((p2[0] * p0[1]) - (p0[0] * p2[1]));
double m14;
m14 = ((a3_0 * p0[1]) - (p0[0] * a3_1));
double m23;
m23 = ((p2[0] * p1[1]) - (p1[0] * p2[1]));
double m24;
m24 = ((a3_0 * p1[1]) - (p1[0] * a3_1));
double m34;
m34 = ((a3_0 * p2[1]) - (p2[0] * a3_1));
double m123;
m123 = (((m23 * p0[2]) - (m13 * p1[2])) + (m12 * p2[2]));
double m124;
m124 = (((m24 * p0[2]) - (m14 * p1[2])) + (m12 * a3_2));
double m134;
m134 = (((m34 * p0[2]) - (m14 * p2[2])) + (m13 * a3_2));
double m234;
m234 = (((m34 * p1[2]) - (m24 * p2[2])) + (m23 * a3_2));
double Delta;
Delta = ((((m234 * p0[3]) - (m134 * p1[3])) + (m124 * p2[3])) - (m123 * a3_3));
int int_tmp_result;
double eps;
double max1 = fabs(p0[0]);
if( (max1 < fabs(p1[0])) )
{
max1 = fabs(p1[0]);
}
if( (max1 < fabs(p2[0])) )
{
max1 = fabs(p2[0]);
}
if( (max1 < fabs(a3_0)) )
{
max1 = fabs(a3_0);
}
double max2 = fabs(p0[1]);
if( (max2 < fabs(p1[1])) )
{
max2 = fabs(p1[1]);
}
if( (max2 < fabs(p2[1])) )
{
max2 = fabs(p2[1]);
}
if( (max2 < fabs(a3_1)) )
{
max2 = fabs(a3_1);
}
double max3 = fabs(p0[2]);
if( (max3 < fabs(p1[2])) )
{
max3 = fabs(p1[2]);
}
if( (max3 < fabs(p2[2])) )
{
max3 = fabs(p2[2]);
}
if( (max3 < fabs(a3_2)) )
{
max3 = fabs(a3_2);
}
double max4 = fabs(p0[3]);
if( (max4 < fabs(p1[3])) )
{
max4 = fabs(p1[3]);
}
if( (max4 < fabs(p2[3])) )
{
max4 = fabs(p2[3]);
}
if( (max4 < fabs(a3_3)) )
{
max4 = fabs(a3_3);
}
double lower_bound_1;
double upper_bound_1;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
else
{
if( (max4 > upper_bound_1) )
{
upper_bound_1 = max4;
}
}
if( (lower_bound_1 < 3.11018333467425326847e-74) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.44740111546645196071e+76) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (2.37793769622390420735e-14 * (((max1 * max2) * max3) * max4));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return int_tmp_result;
}
/******* extracted from predicates/det3d.h *******/
inline int det_3d_filter( const double* p0, const double* p1, const double* p2) {
double Delta;
Delta = (((p0[0] * ((p1[1] * p2[2]) - (p1[2] * p2[1]))) - (p1[0] * ((p0[1] * p2[2]) - (p0[2] * p2[1])))) + (p2[0] * ((p0[1] * p1[2]) - (p0[2] * p1[1]))));
int int_tmp_result;
double eps;
double max1 = fabs(p0[0]);
if( (max1 < fabs(p1[0])) )
{
max1 = fabs(p1[0]);
}
if( (max1 < fabs(p2[0])) )
{
max1 = fabs(p2[0]);
}
double max2 = fabs(p0[1]);
if( (max2 < fabs(p0[2])) )
{
max2 = fabs(p0[2]);
}
if( (max2 < fabs(p1[1])) )
{
max2 = fabs(p1[1]);
}
if( (max2 < fabs(p1[2])) )
{
max2 = fabs(p1[2]);
}
double max3 = fabs(p1[1]);
if( (max3 < fabs(p1[2])) )
{
max3 = fabs(p1[2]);
}
if( (max3 < fabs(p2[1])) )
{
max3 = fabs(p2[1]);
}
if( (max3 < fabs(p2[2])) )
{
max3 = fabs(p2[2]);
}
double lower_bound_1;
double upper_bound_1;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (lower_bound_1 < 1.92663387981871579179e-98) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.11987237108890185662e+102) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (3.11133555671680765034e-15 * ((max2 * max3) * max1));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return int_tmp_result;
}
/******* extracted from predicates/det4d.h *******/
inline int det_4d_filter( const double* p0, const double* p1, const double* p2, const double* p3) {
double m12;
m12 = ((p1[0] * p0[1]) - (p0[0] * p1[1]));
double m13;
m13 = ((p2[0] * p0[1]) - (p0[0] * p2[1]));
double m14;
m14 = ((p3[0] * p0[1]) - (p0[0] * p3[1]));
double m23;
m23 = ((p2[0] * p1[1]) - (p1[0] * p2[1]));
double m24;
m24 = ((p3[0] * p1[1]) - (p1[0] * p3[1]));
double m34;
m34 = ((p3[0] * p2[1]) - (p2[0] * p3[1]));
double m123;
m123 = (((m23 * p0[2]) - (m13 * p1[2])) + (m12 * p2[2]));
double m124;
m124 = (((m24 * p0[2]) - (m14 * p1[2])) + (m12 * p3[2]));
double m134;
m134 = (((m34 * p0[2]) - (m14 * p2[2])) + (m13 * p3[2]));
double m234;
m234 = (((m34 * p1[2]) - (m24 * p2[2])) + (m23 * p3[2]));
double Delta;
Delta = ((((m234 * p0[3]) - (m134 * p1[3])) + (m124 * p2[3])) - (m123 * p3[3]));
int int_tmp_result;
double eps;
double max1 = fabs(p0[0]);
if( (max1 < fabs(p1[0])) )
{
max1 = fabs(p1[0]);
}
if( (max1 < fabs(p2[0])) )
{
max1 = fabs(p2[0]);
}
if( (max1 < fabs(p3[0])) )
{
max1 = fabs(p3[0]);
}
double max2 = fabs(p0[1]);
if( (max2 < fabs(p1[1])) )
{
max2 = fabs(p1[1]);
}
if( (max2 < fabs(p2[1])) )
{
max2 = fabs(p2[1]);
}
if( (max2 < fabs(p3[1])) )
{
max2 = fabs(p3[1]);
}
double max3 = fabs(p0[2]);
if( (max3 < fabs(p1[2])) )
{
max3 = fabs(p1[2]);
}
if( (max3 < fabs(p2[2])) )
{
max3 = fabs(p2[2]);
}
if( (max3 < fabs(p3[2])) )
{
max3 = fabs(p3[2]);
}
double max4 = fabs(p0[3]);
if( (max4 < fabs(p1[3])) )
{
max4 = fabs(p1[3]);
}
if( (max4 < fabs(p2[3])) )
{
max4 = fabs(p2[3]);
}
if( (max4 < fabs(p3[3])) )
{
max4 = fabs(p3[3]);
}
double lower_bound_1;
double upper_bound_1;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (max4 < lower_bound_1) )
{
lower_bound_1 = max4;
}
else
{
if( (max4 > upper_bound_1) )
{
upper_bound_1 = max4;
}
}
if( (lower_bound_1 < 3.20402459074399025456e-74) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.44740111546645196071e+76) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (2.11135406605316806158e-14 * (((max1 * max2) * max3) * max4));
if( (Delta > eps) )
{
int_tmp_result = 1;
}
else
{
if( (Delta < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return int_tmp_result;
}
/******* extracted from predicates/aligned3d.h *******/
inline int aligned_3d_filter( const double* p0, const double* p1, const double* p2) {
double a11;
a11 = (p1[0] - p0[0]);
double a12;
a12 = (p1[1] - p0[1]);
double a13;
a13 = (p1[2] - p0[2]);
double a21;
a21 = (p2[0] - p0[0]);
double a22;
a22 = (p2[1] - p0[1]);
double a23;
a23 = (p2[2] - p0[2]);
double delta1;
delta1 = ((a12 * a23) - (a22 * a13));
double delta2;
delta2 = ((a13 * a21) - (a23 * a11));
double delta3;
delta3 = ((a11 * a22) - (a21 * a12));
int int_tmp_result;
double eps;
int int_tmp_result_FFWKCAA;
int int_tmp_result_k60Ocge;
double max1 = fabs(a12);
if( (max1 < fabs(a22)) )
{
max1 = fabs(a22);
}
double max2 = fabs(a13);
if( (max2 < fabs(a23)) )
{
max2 = fabs(a23);
}
double lower_bound_1;
double upper_bound_1;
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (lower_bound_1 < 5.00368081960964635413e-147) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.67597599124282407923e+153) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (8.88720573725927976811e-16 * (max1 * max2));
if( (delta1 > eps) )
{
int_tmp_result = 1;
}
else
{
if( (delta1 < -eps) )
{
int_tmp_result = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
double max3 = fabs(a11);
if( (max3 < fabs(a21)) )
{
max3 = fabs(a21);
}
lower_bound_1 = max3;
upper_bound_1 = max3;
if( (max2 < lower_bound_1) )
{
lower_bound_1 = max2;
}
else
{
if( (max2 > upper_bound_1) )
{
upper_bound_1 = max2;
}
}
if( (lower_bound_1 < 5.00368081960964635413e-147) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.67597599124282407923e+153) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (8.88720573725927976811e-16 * (max2 * max3));
if( (delta2 > eps) )
{
int_tmp_result_FFWKCAA = 1;
}
else
{
if( (delta2 < -eps) )
{
int_tmp_result_FFWKCAA = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
lower_bound_1 = max1;
upper_bound_1 = max1;
if( (max3 < lower_bound_1) )
{
lower_bound_1 = max3;
}
else
{
if( (max3 > upper_bound_1) )
{
upper_bound_1 = max3;
}
}
if( (lower_bound_1 < 5.00368081960964635413e-147) )
{
return FPG_UNCERTAIN_VALUE;
}
else
{
if( (upper_bound_1 > 1.67597599124282407923e+153) )
{
return FPG_UNCERTAIN_VALUE;
}
eps = (8.88720573725927976811e-16 * (max3 * max1));
if( (delta3 > eps) )
{
int_tmp_result_k60Ocge = 1;
}
else
{
if( (delta3 < -eps) )
{
int_tmp_result_k60Ocge = -1;
}
else
{
return FPG_UNCERTAIN_VALUE;
}
}
}
return ((((int_tmp_result == 0) && (int_tmp_result_FFWKCAA == 0)) && (int_tmp_result_k60Ocge == 0)) ? 0 : 1);
}
/******* extracted from PCK.cpp *******/
#include <vector>
#include <algorithm>
namespace {
using namespace GEO;
#ifdef PCK_STATS
inline double percent(Numeric::int64 a, Numeric::int64 b) {
return 100.0 * double(a) / double(b);
}
#endif
}
namespace GEO {
namespace PCK {
#ifdef PCK_STATS
PredicateStats* PredicateStats::first_ = nullptr;
PredicateStats::PredicateStats(
const char* name
) : next_(first_),
name_(name),
invoke_count_(0),
exact_count_(0),
SOS_count_(0) {
first_ = this;
}
void PredicateStats::show_all_stats() {
std::vector<PredicateStats*> all_stats;
for(
PredicateStats* stats = first_;
stats != nullptr; stats = stats->next_) {
all_stats.push_back(stats);
}
std::sort(
all_stats.begin(), all_stats.end(),
[](const PredicateStats* a, const PredicateStats* b)->bool {
return (a->invoke_count_ > b->invoke_count_);
}
);
for(PredicateStats* stats : all_stats) {
stats->show_stats();
}
}
void PredicateStats::show_stats() {
if(invoke_count_ == 0) {
return;
}
Logger::out("PCK stats") << "Predicate stats for: "
<< name_ << std::endl;
Logger::out("PCK stats")
<< String::format(" invocations : %12ld",
Numeric::int64(invoke_count_))
<< std::endl;
Numeric::int64 filter_hit_count = invoke_count_ - exact_count_;
Logger::out("PCK stats")
<< String::format(" filter hit : %12ld (%3.2f %%)",
Numeric::int64(filter_hit_count),
percent(filter_hit_count, invoke_count_)
)
<< std::endl;
Logger::out("PCK stats")
<< String::format(" exact : %12ld (%3.2f %%)",
Numeric::int64(exact_count_),
percent(exact_count_, invoke_count_)
)
<< std::endl;
if(SOS_count_ != 0 || strstr(name_, "SOS") != nullptr) {
Logger::out("PCK stats")
<< String::format(" SOS : %12ld (%3.2f %%)",
Numeric::int64(SOS_count_),
percent(SOS_count_, invoke_count_)
)
<< std::endl;
}
Logger::out("PCK stats") << std::endl;
}
#endif
}
}
/******* extracted from predicates.cpp *******/
// This makes sure the compiler will not optimize y = a*x+b
// with fused multiply-add, this would break the exact
// predicates.
#ifdef GEO_COMPILER_MSVC
#pragma fp_contract(off)
#endif
#include <algorithm>
#define FPG_UNCERTAIN_VALUE 0
#ifdef __SSE2__
#include <emmintrin.h>
#endif
namespace {
using namespace GEO;
GEO::PCK::SOSMode SOS_mode_ = GEO::PCK::SOS_ADDRESS;
class LexicoCompare {
public:
LexicoCompare(index_t dim) : dim_(dim) {
}
bool operator()(const double* x, const double* y) const {
for(index_t i=0; i<dim_-1; ++i) {
if(x[i] < y[i]) {
return true;
}
if(x[i] > y[i]) {
return false;
}
}
return (x[dim_-1] < y[dim_-1]);
}
private:
index_t dim_;
};
bool lexico_compare_3d(const double* x, const double* y) {
if(x[0] < y[0]) {
return true;
}
if(x[0] > y[0]) {
return false;
}
if(x[1] < y[1]) {
return true;
}
if(x[1] > y[1]) {
return false;
}
return x[2] < y[2];
}
void GEOGRAM_API SOS_sort(
const double** begin, const double** end, index_t dim
) {
if(SOS_mode_ == PCK::SOS_ADDRESS) {
std::sort(begin, end);
} else {
if(dim == 3) {
std::sort(begin, end, lexico_compare_3d);
} else {
std::sort(begin, end, LexicoCompare(dim));
}
}
}
inline double max4(double x1, double x2, double x3, double x4) {
#ifdef __SSE2__
double result;
__m128d X1 =_mm_load_sd(&x1);
__m128d X2 =_mm_load_sd(&x2);
__m128d X3 =_mm_load_sd(&x3);
__m128d X4 =_mm_load_sd(&x4);
X1 = _mm_max_sd(X1,X2);
X3 = _mm_max_sd(X3,X4);
X1 = _mm_max_sd(X1,X3);
_mm_store_sd(&result, X1);
return result;
#else
return std::max(std::max(x1,x2),std::max(x3,x4));
#endif
}
inline void get_minmax3(
double& m, double& M, double x1, double x2, double x3
) {
#ifdef __SSE2__
__m128d X1 =_mm_load_sd(&x1);
__m128d X2 =_mm_load_sd(&x2);
__m128d X3 =_mm_load_sd(&x3);
__m128d MIN12 = _mm_min_sd(X1,X2);
__m128d MAX12 = _mm_max_sd(X1,X2);
X1 = _mm_min_sd(MIN12, X3);
X3 = _mm_max_sd(MAX12, X3);
_mm_store_sd(&m, X1);
_mm_store_sd(&M, X3);
#else
m = std::min(std::min(x1,x2), x3);
M = std::max(std::max(x1,x2), x3);
#endif
}
inline int in_sphere_3d_filter_optim(
const double* p, const double* q,
const double* r, const double* s, const double* t
) {
double ptx = p[0] - t[0];
double pty = p[1] - t[1];
double ptz = p[2] - t[2];
double pt2 = geo_sqr(ptx) + geo_sqr(pty) + geo_sqr(ptz);
double qtx = q[0] - t[0];
double qty = q[1] - t[1];
double qtz = q[2] - t[2];
double qt2 = geo_sqr(qtx) + geo_sqr(qty) + geo_sqr(qtz);
double rtx = r[0] - t[0];
double rty = r[1] - t[1];
double rtz = r[2] - t[2];
double rt2 = geo_sqr(rtx) + geo_sqr(rty) + geo_sqr(rtz);
double stx = s[0] - t[0];
double sty = s[1] - t[1];
double stz = s[2] - t[2];
double st2 = geo_sqr(stx) + geo_sqr(sty) + geo_sqr(stz);
// Compute the semi-static bound.
double maxx = ::fabs(ptx);
double maxy = ::fabs(pty);
double maxz = ::fabs(ptz);
double aqtx = ::fabs(qtx);
double artx = ::fabs(rtx);
double astx = ::fabs(stx);
double aqty = ::fabs(qty);
double arty = ::fabs(rty);
double asty = ::fabs(sty);
double aqtz = ::fabs(qtz);
double artz = ::fabs(rtz);
double astz = ::fabs(stz);
maxx = max4(maxx, aqtx, artx, astx);
maxy = max4(maxy, aqty, arty, asty);
maxz = max4(maxz, aqtz, artz, astz);
double eps = 1.2466136531027298e-13 * maxx * maxy * maxz;
double min_max;
double max_max;
get_minmax3(min_max, max_max, maxx, maxy, maxz);
double det = det4x4(
ptx,pty,ptz,pt2,
rtx,rty,rtz,rt2,
qtx,qty,qtz,qt2,
stx,sty,stz,st2
);
if (min_max < 1e-58) { /* sqrt^5(min_double/eps) */
// Protect against underflow in the computation of eps.
return FPG_UNCERTAIN_VALUE;
} else if (max_max < 1e61) { /* sqrt^5(max_double/4 [hadamard]) */
// Protect against overflow in the computation of det.
eps *= (max_max * max_max);
// Note: inverted as compared to CGAL
// CGAL: in_sphere_3d (called side_of_oriented_sphere())
// positive side is outside the sphere.
// PCK: in_sphere_3d : positive side is inside the sphere
if (det > eps) return -1;
if (det < -eps) return 1;
}
return FPG_UNCERTAIN_VALUE;
}
using namespace GEO;
PCK::PredicateStats stats_side1("side1");
PCK::PredicateStats stats_side2("side2");
PCK::PredicateStats stats_side3("side3");
PCK::PredicateStats stats_side3h("side3h");
PCK::PredicateStats stats_side4("side4/insphere");
PCK::PredicateStats stats_orient2d("orient2d");
PCK::PredicateStats stats_orient3d("orient3d");
PCK::PredicateStats stats_orient3dh("orient3dh");
PCK::PredicateStats stats_det3d("det3d");
PCK::PredicateStats stats_det4d("det4d");
// ================= side1 =========================================
Sign side1_exact_SOS(
const double* p0, const double* p1,
const double* q0,
coord_index_t dim
) {
stats_side1.log_exact();
expansion& l = expansion_sq_dist(p0, p1, dim);
expansion& a = expansion_dot_at(p1, q0, p0, dim).scale_fast(2.0);
expansion& r = expansion_diff(l, a);
Sign r_sign = r.sign();
// Symbolic perturbation, Simulation of Simplicity
if(r_sign == ZERO) {
stats_side1.log_SOS();
return (p0 < p1) ? POSITIVE : NEGATIVE;
}
return r_sign;
}
Sign side1_3d_SOS(
const double* p0, const double* p1, const double* q0
) {
Sign result = Sign(side1_3d_filter(p0, p1, q0));
if(result == ZERO) {
result = side1_exact_SOS(p0, p1, q0, 3);
}
return result;
}
Sign side1_4d_SOS(
const double* p0, const double* p1, const double* q0
) {
Sign result = Sign(side1_4d_filter(p0, p1, q0));
if(result == ZERO) {
result = side1_exact_SOS(p0, p1, q0, 4);
}
return result;
}
Sign side1_6d_SOS(
const double* p0, const double* p1, const double* q0
) {
Sign result = Sign(side1_6d_filter(p0, p1, q0));
if(result == ZERO) {
result = side1_exact_SOS(p0, p1, q0, 6);
}
return result;
}
Sign side1_7d_SOS(
const double* p0, const double* p1, const double* q0
) {
Sign result = Sign(side1_7d_filter(p0, p1, q0));
if(result == ZERO) {
result = side1_exact_SOS(p0, p1, q0, 7);
}
return result;
}
Sign side1_8d_SOS(
const double* p0, const double* p1, const double* q0
) {
Sign result = Sign(side1_8d_filter(p0, p1, q0));
if(result == ZERO) {
result = side1_exact_SOS(p0, p1, q0, 8);
}
return result;
}
// ================= side2 =========================================
Sign side2_exact_SOS(
const double* p0, const double* p1, const double* p2,
const double* q0, const double* q1,
coord_index_t dim
) {
stats_side2.log_exact();
const expansion& l1 = expansion_sq_dist(p1, p0, dim);
const expansion& l2 = expansion_sq_dist(p2, p0, dim);
const expansion& a10 = expansion_dot_at(p1,q0,p0, dim).scale_fast(2.0);
const expansion& a11 = expansion_dot_at(p1,q1,p0, dim).scale_fast(2.0);
const expansion& a20 = expansion_dot_at(p2,q0,p0, dim).scale_fast(2.0);
const expansion& a21 = expansion_dot_at(p2,q1,p0, dim).scale_fast(2.0);
const expansion& Delta = expansion_diff(a11, a10);
Sign Delta_sign = Delta.sign();
// Should not occur with symbolic
// perturbation done at previous steps.
geo_assert(Delta_sign != ZERO);
// [ Lambda0 ] [ -1 ] [ a11 ]
// Delta [ ] = [ ] * l1 + [ ]
// [ Lambda1 ] [ 1 ] [ -a10 ]
const expansion& DeltaLambda0 = expansion_diff(a11, l1);
const expansion& DeltaLambda1 = expansion_diff(l1, a10);
// r = Delta*l2 - ( a20*DeltaLambda0 + a21*DeltaLambda1 )
const expansion& r0 = expansion_product(Delta, l2);
const expansion& r1 = expansion_product(a20, DeltaLambda0).negate();
const expansion& r2 = expansion_product(a21, DeltaLambda1).negate();
const expansion& r = expansion_sum3(r0, r1, r2);
Sign r_sign = r.sign();
// Simulation of Simplicity (symbolic perturbation)
if(r_sign == ZERO) {
stats_side2.log_SOS();
const double* p_sort[3];
p_sort[0] = p0;
p_sort[1] = p1;
p_sort[2] = p2;
SOS_sort(p_sort, p_sort + 3, dim);
for(index_t i = 0; i < 3; ++i) {
if(p_sort[i] == p0) {
const expansion& z1 = expansion_diff(Delta, a21);
const expansion& z = expansion_sum(z1, a20);
Sign z_sign = z.sign();
if(z_sign != ZERO) {
return Sign(Delta_sign * z_sign);
}
}
if(p_sort[i] == p1) {
const expansion& z = expansion_diff(a21, a20);
Sign z_sign = z.sign();
if(z_sign != ZERO) {
return Sign(Delta_sign * z_sign);
}
}
if(p_sort[i] == p2) {
return NEGATIVE;
}
}
geo_assert_not_reached;
}
return Sign(Delta_sign * r_sign);
}
Sign side2_3d_SOS(
const double* p0, const double* p1, const double* p2,
const double* q0, const double* q1
) {
Sign result = Sign(side2_3d_filter(p0, p1, p2, q0, q1));
if(result == ZERO) {
result = side2_exact_SOS(p0, p1, p2, q0, q1, 3);
}
return result;
}
Sign side2_4d_SOS(
const double* p0, const double* p1, const double* p2,
const double* q0, const double* q1
) {
Sign result = Sign(side2_4d_filter(p0, p1, p2, q0, q1));
if(result == ZERO) {
result = side2_exact_SOS(p0, p1, p2, q0, q1, 4);
}
return result;
}
Sign side2_6d_SOS(
const double* p0, const double* p1, const double* p2,
const double* q0, const double* q1
) {
Sign result = Sign(side2_6d_filter(p0, p1, p2, q0, q1));
if(result == ZERO) {
result = side2_exact_SOS(p0, p1, p2, q0, q1, 6);
}
return result;
}
Sign side2_7d_SOS(
const double* p0, const double* p1, const double* p2,
const double* q0, const double* q1
) {
Sign result = Sign(side2_7d_filter(p0, p1, p2, q0, q1));
if(result == ZERO) {
result = side2_exact_SOS(p0, p1, p2, q0, q1, 7);
}
return result;
}
Sign side2_8d_SOS(
const double* p0, const double* p1, const double* p2,
const double* q0, const double* q1
) {
Sign result = Sign(side2_8d_filter(p0, p1, p2, q0, q1));
if(result == ZERO) {
result = side2_exact_SOS(p0, p1, p2, q0, q1, 8);
}
return result;
}
// ================= side3 =========================================
Sign side3_exact_SOS(
const double* p0, const double* p1, const double* p2, const double* p3,
const double* q0, const double* q1, const double* q2,
coord_index_t dim
) {
stats_side3.log_exact();
const expansion& l1 = expansion_sq_dist(p1, p0, dim);
const expansion& l2 = expansion_sq_dist(p2, p0, dim);
const expansion& l3 = expansion_sq_dist(p3, p0, dim);
const expansion& a10 = expansion_dot_at(p1,q0,p0, dim).scale_fast(2.0);
const expansion& a11 = expansion_dot_at(p1,q1,p0, dim).scale_fast(2.0);
const expansion& a12 = expansion_dot_at(p1,q2,p0, dim).scale_fast(2.0);
const expansion& a20 = expansion_dot_at(p2,q0,p0, dim).scale_fast(2.0);
const expansion& a21 = expansion_dot_at(p2,q1,p0, dim).scale_fast(2.0);
const expansion& a22 = expansion_dot_at(p2,q2,p0, dim).scale_fast(2.0);
const expansion& a30 = expansion_dot_at(p3,q0,p0, dim).scale_fast(2.0);
const expansion& a31 = expansion_dot_at(p3,q1,p0, dim).scale_fast(2.0);
const expansion& a32 = expansion_dot_at(p3,q2,p0, dim).scale_fast(2.0);
// [ b00 b01 b02 ] [ 1 1 1 ]-1
// [ b10 b11 b12 ] = Delta * [ a10 a11 a12 ]
// [ b20 b21 b22 ] [ a20 a21 a22 ]
const expansion& b00 = expansion_det2x2(a11, a12, a21, a22);
const expansion& b01 = expansion_diff(a21, a22);
const expansion& b02 = expansion_diff(a12, a11);
const expansion& b10 = expansion_det2x2(a12, a10, a22, a20);
const expansion& b11 = expansion_diff(a22, a20);
const expansion& b12 = expansion_diff(a10, a12);
const expansion& b20 = expansion_det2x2(a10, a11, a20, a21);
const expansion& b21 = expansion_diff(a20, a21);
const expansion& b22 = expansion_diff(a11, a10);
const expansion& Delta = expansion_sum3(b00, b10, b20);
Sign Delta_sign = Delta.sign();
// Should not occur with symbolic
// perturbation done at previous steps.
geo_assert(Delta_sign != ZERO);
// [ Lambda0 ] [ b01 b02 ] [ l1 ] [ b00 ]
// Delta [ Lambda1 ] = [ b11 b12 ] * [ ] + [ b10 ]
// [ Lambda2 ] [ b21 b22 ] [ l2 ] [ b20 ]
const expansion& b01_l1 = expansion_product(b01, l1);
const expansion& b02_l2 = expansion_product(b02, l2);
const expansion& DeltaLambda0 = expansion_sum3(b01_l1, b02_l2, b00);
const expansion& b11_l1 = expansion_product(b11, l1);
const expansion& b12_l2 = expansion_product(b12, l2);
const expansion& DeltaLambda1 = expansion_sum3(b11_l1, b12_l2, b10);
const expansion& b21_l1 = expansion_product(b21, l1);
const expansion& b22_l2 = expansion_product(b22, l2);
const expansion& DeltaLambda2 = expansion_sum3(b21_l1, b22_l2, b20);
// r = Delta*l3-(a30*DeltaLambda0+a31*DeltaLambda1+a32*DeltaLambda2)
const expansion& r0 = expansion_product(Delta, l3);
const expansion& r1 = expansion_product(a30, DeltaLambda0).negate();
const expansion& r2 = expansion_product(a31, DeltaLambda1).negate();
const expansion& r3 = expansion_product(a32, DeltaLambda2).negate();
const expansion& r = expansion_sum4(r0, r1, r2, r3);
Sign r_sign = r.sign();
// Simulation of Simplicity (symbolic perturbation)
if(r_sign == ZERO) {
stats_side3.log_SOS();
const double* p_sort[4];
p_sort[0] = p0;
p_sort[1] = p1;
p_sort[2] = p2;
p_sort[3] = p3;
SOS_sort(p_sort, p_sort + 4, dim);
for(index_t i = 0; i < 4; ++i) {
if(p_sort[i] == p0) {
const expansion& z1_0 = expansion_sum(b01, b02);
const expansion& z1 = expansion_product(a30, z1_0).negate();
const expansion& z2_0 = expansion_sum(b11, b12);
const expansion& z2 = expansion_product(a31, z2_0).negate();
const expansion& z3_0 = expansion_sum(b21, b22);
const expansion& z3 = expansion_product(a32, z3_0).negate();
const expansion& z = expansion_sum4(Delta, z1, z2, z3);
Sign z_sign = z.sign();
if(z_sign != ZERO) {
return Sign(Delta_sign * z_sign);
}
} else if(p_sort[i] == p1) {
const expansion& z1 = expansion_product(a30, b01);
const expansion& z2 = expansion_product(a31, b11);
const expansion& z3 = expansion_product(a32, b21);
const expansion& z = expansion_sum3(z1, z2, z3);
Sign z_sign = z.sign();
if(z_sign != ZERO) {
return Sign(Delta_sign * z_sign);
}
} else if(p_sort[i] == p2) {
const expansion& z1 = expansion_product(a30, b02);
const expansion& z2 = expansion_product(a31, b12);
const expansion& z3 = expansion_product(a32, b22);
const expansion& z = expansion_sum3(z1, z2, z3);
Sign z_sign = z.sign();
if(z_sign != ZERO) {
return Sign(Delta_sign * z_sign);
}
} else if(p_sort[i] == p3) {
return NEGATIVE;
}
}
geo_assert_not_reached;
}
return Sign(Delta_sign * r_sign);
}
Sign side3h_exact_SOS(
const double* p0, const double* p1, const double* p2, const double* p3,
double h0, double h1, double h2, double h3,
const double* q0, const double* q1, const double* q2
) {
stats_side3h.log_exact();
const expansion& l1 = expansion_diff(h1,h0);
const expansion& l2 = expansion_diff(h2,h0);
const expansion& l3 = expansion_diff(h3,h0);
const expansion& a10 = expansion_dot_at(p1, q0, p0, 3).scale_fast(2.0);
const expansion& a11 = expansion_dot_at(p1, q1, p0, 3).scale_fast(2.0);
const expansion& a12 = expansion_dot_at(p1, q2, p0, 3).scale_fast(2.0);
const expansion& a20 = expansion_dot_at(p2, q0, p0, 3).scale_fast(2.0);
const expansion& a21 = expansion_dot_at(p2, q1, p0, 3).scale_fast(2.0);
const expansion& a22 = expansion_dot_at(p2, q2, p0, 3).scale_fast(2.0);
const expansion& a30 = expansion_dot_at(p3, q0, p0, 3).scale_fast(2.0);
const expansion& a31 = expansion_dot_at(p3, q1, p0, 3).scale_fast(2.0);
const expansion& a32 = expansion_dot_at(p3, q2, p0, 3).scale_fast(2.0);
// [ b00 b01 b02 ] [ 1 1 1 ]-1
// [ b10 b11 b12 ] = Delta * [ a10 a11 a12 ]
// [ b20 b21 b22 ] [ a20 a21 a22 ]
const expansion& b00 = expansion_det2x2(a11, a12, a21, a22);
const expansion& b01 = expansion_diff(a21, a22);
const expansion& b02 = expansion_diff(a12, a11);
const expansion& b10 = expansion_det2x2(a12, a10, a22, a20);
const expansion& b11 = expansion_diff(a22, a20);
const expansion& b12 = expansion_diff(a10, a12);
const expansion& b20 = expansion_det2x2(a10, a11, a20, a21);
const expansion& b21 = expansion_diff(a20, a21);
const expansion& b22 = expansion_diff(a11, a10);
const expansion& Delta = expansion_sum3(b00, b10, b20);
Sign Delta_sign = Delta.sign();
// Should not occur with symbolic
// perturbation done at previous steps.
geo_assert(Delta_sign != ZERO);
// [ Lambda0 ] [ b01 b02 ] [ l1 ] [ b00 ]
// Delta [ Lambda1 ] = [ b11 b12 ] * [ ] + [ b10 ]
// [ Lambda2 ] [ b21 b22 ] [ l2 ] [ b20 ]
const expansion& b01_l1 = expansion_product(b01, l1);
const expansion& b02_l2 = expansion_product(b02, l2);
const expansion& DeltaLambda0 = expansion_sum3(b01_l1, b02_l2, b00);
const expansion& b11_l1 = expansion_product(b11, l1);
const expansion& b12_l2 = expansion_product(b12, l2);
const expansion& DeltaLambda1 = expansion_sum3(b11_l1, b12_l2, b10);
const expansion& b21_l1 = expansion_product(b21, l1);
const expansion& b22_l2 = expansion_product(b22, l2);
const expansion& DeltaLambda2 = expansion_sum3(b21_l1, b22_l2, b20);
// r = Delta*l3-(a30*DeltaLambda0+a31*DeltaLambda1+a32*DeltaLambda2)
const expansion& r0 = expansion_product(Delta, l3);
const expansion& r1 = expansion_product(a30, DeltaLambda0).negate();
const expansion& r2 = expansion_product(a31, DeltaLambda1).negate();
const expansion& r3 = expansion_product(a32, DeltaLambda2).negate();
const expansion& r = expansion_sum4(r0, r1, r2, r3);
Sign r_sign = r.sign();
// Simulation of Simplicity (symbolic perturbation)
if(r_sign == ZERO) {
stats_side3h.log_SOS();
const double* p_sort[4];
p_sort[0] = p0;
p_sort[1] = p1;
p_sort[2] = p2;
p_sort[3] = p3;
SOS_sort(p_sort, p_sort + 4, 3);
for(index_t i = 0; i < 4; ++i) {
if(p_sort[i] == p0) {
const expansion& z1_0 = expansion_sum(b01, b02);
const expansion& z1 = expansion_product(a30, z1_0).negate();
const expansion& z2_0 = expansion_sum(b11, b12);
const expansion& z2 = expansion_product(a31, z2_0).negate();
const expansion& z3_0 = expansion_sum(b21, b22);
const expansion& z3 = expansion_product(a32, z3_0).negate();
const expansion& z = expansion_sum4(Delta, z1, z2, z3);
Sign z_sign = z.sign();
if(z_sign != ZERO) {
return Sign(Delta_sign * z_sign);
}
} else if(p_sort[i] == p1) {
const expansion& z1 = expansion_product(a30, b01);
const expansion& z2 = expansion_product(a31, b11);
const expansion& z3 = expansion_product(a32, b21);
const expansion& z = expansion_sum3(z1, z2, z3);
Sign z_sign = z.sign();
if(z_sign != ZERO) {
return Sign(Delta_sign * z_sign);
}
} else if(p_sort[i] == p2) {
const expansion& z1 = expansion_product(a30, b02);
const expansion& z2 = expansion_product(a31, b12);
const expansion& z3 = expansion_product(a32, b22);
const expansion& z = expansion_sum3(z1, z2, z3);
Sign z_sign = z.sign();
if(z_sign != ZERO) {
return Sign(Delta_sign * z_sign);
}
} else if(p_sort[i] == p3) {
return NEGATIVE;
}
}
geo_assert_not_reached;
}
return Sign(Delta_sign * r_sign);
}
Sign side3_3d_SOS(
const double* p0, const double* p1, const double* p2, const double* p3,
const double* q0, const double* q1, const double* q2
) {
Sign result = Sign(side3_3d_filter(p0, p1, p2, p3, q0, q1, q2));
if(result == ZERO) {
result = side3_exact_SOS(p0, p1, p2, p3, q0, q1, q2, 3);
}
return result;
}
Sign side3_4d_SOS(
const double* p0, const double* p1, const double* p2, const double* p3,
const double* q0, const double* q1, const double* q2
) {
Sign result = Sign(side3_4d_filter(p0, p1, p2, p3, q0, q1, q2));
if(result == ZERO) {
result = side3_exact_SOS(p0, p1, p2, p3, q0, q1, q2, 4);
}
return result;
}
Sign side3_6d_SOS(
const double* p0, const double* p1, const double* p2, const double* p3,
const double* q0, const double* q1, const double* q2
) {
Sign result = Sign(side3_6d_filter(p0, p1, p2, p3, q0, q1, q2));
if(result == ZERO) {
result = side3_exact_SOS(p0, p1, p2, p3, q0, q1, q2, 6);
}
return result;
}
Sign side3_7d_SOS(
const double* p0, const double* p1, const double* p2, const double* p3,
const double* q0, const double* q1, const double* q2
) {
Sign result = Sign(side3_7d_filter(p0, p1, p2, p3, q0, q1, q2));
if(result == ZERO) {
result = side3_exact_SOS(p0, p1, p2, p3, q0, q1, q2, 7);
}
return result;
}
Sign side3_8d_SOS(
const double* p0, const double* p1, const double* p2, const double* p3,
const double* q0, const double* q1, const double* q2
) {
Sign result = Sign(side3_8d_filter(p0, p1, p2, p3, q0, q1, q2));
if(result == ZERO) {
result = side3_exact_SOS(p0, p1, p2, p3, q0, q1, q2, 8);
}
return result;
}
// ================= side4 =========================================
Sign side4_3d_exact_SOS(
const double* p0, const double* p1, const double* p2, const double* p3,
const double* p4, bool sos = true
) {
stats_side4.log_exact();
const expansion& a11 = expansion_diff(p1[0], p0[0]);
const expansion& a12 = expansion_diff(p1[1], p0[1]);
const expansion& a13 = expansion_diff(p1[2], p0[2]);
const expansion& a14 = expansion_sq_dist(p1, p0, 3).negate();
const expansion& a21 = expansion_diff(p2[0], p0[0]);
const expansion& a22 = expansion_diff(p2[1], p0[1]);
const expansion& a23 = expansion_diff(p2[2], p0[2]);
const expansion& a24 = expansion_sq_dist(p2, p0, 3).negate();
const expansion& a31 = expansion_diff(p3[0], p0[0]);
const expansion& a32 = expansion_diff(p3[1], p0[1]);
const expansion& a33 = expansion_diff(p3[2], p0[2]);
const expansion& a34 = expansion_sq_dist(p3, p0, 3).negate();
const expansion& a41 = expansion_diff(p4[0], p0[0]);
const expansion& a42 = expansion_diff(p4[1], p0[1]);
const expansion& a43 = expansion_diff(p4[2], p0[2]);
const expansion& a44 = expansion_sq_dist(p4, p0, 3).negate();
// This commented-out version does not reuse
// the 2x2 minors.
/*
const expansion& Delta1 = expansion_det3x3(
a21, a22, a23,
a31, a32, a33,
a41, a42, a43
);
const expansion& Delta2 = expansion_det3x3(
a11, a12, a13,
a31, a32, a33,
a41, a42, a43
);
const expansion& Delta3 = expansion_det3x3(
a11, a12, a13,
a21, a22, a23,
a41, a42, a43
);
const expansion& Delta4 = expansion_det3x3(
a11, a12, a13,
a21, a22, a23,
a31, a32, a33
);
*/
// Optimized version that reuses the 2x2 minors
const expansion& m12 = expansion_det2x2(a12,a13,a22,a23);
const expansion& m13 = expansion_det2x2(a12,a13,a32,a33);
const expansion& m14 = expansion_det2x2(a12,a13,a42,a43);
const expansion& m23 = expansion_det2x2(a22,a23,a32,a33);
const expansion& m24 = expansion_det2x2(a22,a23,a42,a43);
const expansion& m34 = expansion_det2x2(a32,a33,a42,a43);
const expansion& z11 = expansion_product(a21,m34);
const expansion& z12 = expansion_product(a31,m24).negate();
const expansion& z13 = expansion_product(a41,m23);
const expansion& Delta1 = expansion_sum3(z11,z12,z13);
const expansion& z21 = expansion_product(a11,m34);
const expansion& z22 = expansion_product(a31,m14).negate();
const expansion& z23 = expansion_product(a41,m13);
const expansion& Delta2 = expansion_sum3(z21,z22,z23);
const expansion& z31 = expansion_product(a11,m24);
const expansion& z32 = expansion_product(a21,m14).negate();
const expansion& z33 = expansion_product(a41,m12);
const expansion& Delta3 = expansion_sum3(z31,z32,z33);
const expansion& z41 = expansion_product(a11,m23);
const expansion& z42 = expansion_product(a21,m13).negate();
const expansion& z43 = expansion_product(a31,m12);
const expansion& Delta4 = expansion_sum3(z41,z42,z43);
Sign Delta4_sign = Delta4.sign();
geo_assert(Delta4_sign != ZERO);
const expansion& r_1 = expansion_product(Delta1, a14);
const expansion& r_2 = expansion_product(Delta2, a24).negate();
const expansion& r_3 = expansion_product(Delta3, a34);
const expansion& r_4 = expansion_product(Delta4, a44).negate();
const expansion& r = expansion_sum4(r_1, r_2, r_3, r_4);
Sign r_sign = r.sign();
// Simulation of Simplicity (symbolic perturbation)
if(sos && r_sign == ZERO) {
stats_side4.log_SOS();
const double* p_sort[5];
p_sort[0] = p0;
p_sort[1] = p1;
p_sort[2] = p2;
p_sort[3] = p3;
p_sort[4] = p4;
SOS_sort(p_sort, p_sort + 5, 3);
for(index_t i = 0; i < 5; ++i) {
if(p_sort[i] == p0) {
const expansion& z1 = expansion_diff(Delta2, Delta1);
const expansion& z2 = expansion_diff(Delta4, Delta3);
const expansion& z = expansion_sum(z1, z2);
Sign z_sign = z.sign();
if(z_sign != ZERO) {
return Sign(Delta4_sign * z_sign);
}
} else if(p_sort[i] == p1) {
Sign Delta1_sign = Delta1.sign();
if(Delta1_sign != ZERO) {
return Sign(Delta4_sign * Delta1_sign);
}
} else if(p_sort[i] == p2) {
Sign Delta2_sign = Delta2.sign();
if(Delta2_sign != ZERO) {
return Sign(-Delta4_sign * Delta2_sign);
}
} else if(p_sort[i] == p3) {
Sign Delta3_sign = Delta3.sign();
if(Delta3_sign != ZERO) {
return Sign(Delta4_sign * Delta3_sign);
}
} else if(p_sort[i] == p4) {
return NEGATIVE;
}
}
}
return Sign(Delta4_sign * r_sign);
}
Sign side4_exact_SOS(
const double* p0, const double* p1, const double* p2, const double* p3,
const double* p4,
const double* q0, const double* q1, const double* q2, const double* q3,
coord_index_t dim
) {
stats_side4.log_exact();
const expansion& l1 = expansion_sq_dist(p1, p0, dim);
const expansion& l2 = expansion_sq_dist(p2, p0, dim);
const expansion& l3 = expansion_sq_dist(p3, p0, dim);
const expansion& l4 = expansion_sq_dist(p4, p0, dim);
const expansion& a10 = expansion_dot_at(p1,q0,p0, dim).scale_fast(2.0);
const expansion& a11 = expansion_dot_at(p1,q1,p0, dim).scale_fast(2.0);
const expansion& a12 = expansion_dot_at(p1,q2,p0, dim).scale_fast(2.0);
const expansion& a13 = expansion_dot_at(p1,q3,p0, dim).scale_fast(2.0);
const expansion& a20 = expansion_dot_at(p2,q0,p0, dim).scale_fast(2.0);
const expansion& a21 = expansion_dot_at(p2,q1,p0, dim).scale_fast(2.0);
const expansion& a22 = expansion_dot_at(p2,q2,p0, dim).scale_fast(2.0);
const expansion& a23 = expansion_dot_at(p2,q3,p0, dim).scale_fast(2.0);
const expansion& a30 = expansion_dot_at(p3,q0,p0, dim).scale_fast(2.0);
const expansion& a31 = expansion_dot_at(p3,q1,p0, dim).scale_fast(2.0);
const expansion& a32 = expansion_dot_at(p3,q2,p0, dim).scale_fast(2.0);
const expansion& a33 = expansion_dot_at(p3,q3,p0, dim).scale_fast(2.0);
const expansion& a40 = expansion_dot_at(p4,q0,p0, dim).scale_fast(2.0);
const expansion& a41 = expansion_dot_at(p4,q1,p0, dim).scale_fast(2.0);
const expansion& a42 = expansion_dot_at(p4,q2,p0, dim).scale_fast(2.0);
const expansion& a43 = expansion_dot_at(p4,q3,p0, dim).scale_fast(2.0);
// [ b00 b01 b02 b03 ] [ 1 1 1 1 ]-1
// [ b10 b11 b12 b13 ] [ a10 a11 a12 a13 ]
// [ b20 b21 b22 b23 ] = Delta * [ a20 a21 a22 a23 ]
// [ b30 b31 b32 b33 ] [ a30 a31 a32 a33 ]
// Note: we could probably reuse some of the co-factors
// (but for now I'd rather keep this form that is easier to
// read ... and to debug if need be !)
const expansion& b00 = expansion_det3x3(a11, a12, a13, a21, a22, a23, a31, a32, a33);
const expansion& b01 = expansion_det_111_2x3(a21, a22, a23, a31, a32, a33).negate();
const expansion& b02 = expansion_det_111_2x3(a11, a12, a13, a31, a32, a33);
const expansion& b03 = expansion_det_111_2x3(a11, a12, a13, a21, a22, a23).negate();
const expansion& b10 = expansion_det3x3(a10, a12, a13, a20, a22, a23, a30, a32, a33).negate();
const expansion& b11 = expansion_det_111_2x3(a20, a22, a23, a30, a32, a33);
const expansion& b12 = expansion_det_111_2x3(a10, a12, a13, a30, a32, a33).negate();
const expansion& b13 = expansion_det_111_2x3(a10, a12, a13, a20, a22, a23);
const expansion& b20 = expansion_det3x3(a10, a11, a13, a20, a21, a23, a30, a31, a33);
const expansion& b21 = expansion_det_111_2x3(a20, a21, a23, a30, a31, a33).negate();
const expansion& b22 = expansion_det_111_2x3(a10, a11, a13, a30, a31, a33);
const expansion& b23 = expansion_det_111_2x3(a10, a11, a13, a20, a21, a23).negate();
const expansion& b30 = expansion_det3x3(a10, a11, a12, a20, a21, a22, a30, a31, a32).negate();
const expansion& b31 = expansion_det_111_2x3(a20, a21, a22, a30, a31, a32);
const expansion& b32 = expansion_det_111_2x3(a10, a11, a12, a30, a31, a32).negate();
const expansion& b33 = expansion_det_111_2x3(a10, a11, a12, a20, a21, a22);
const expansion& Delta = expansion_sum4(b00, b10, b20, b30);
Sign Delta_sign = Delta.sign();
geo_assert(Delta_sign != ZERO);
// [ Lambda0 ] [ b01 b02 b03 ] [ l1 ] [ b00 ]
// [ Lambda1 ] [ b11 b12 b13 ] [ l2 ] [ b10 ]
// Delta [ Lambda2 ] = [ b21 b22 b23 ] * [ l3 ] + [ b20 ]
// [ Lambda3 ] [ b31 b32 b33 ] [ l4 ] [ b30 ]
const expansion& b01_l1 = expansion_product(b01, l1);
const expansion& b02_l2 = expansion_product(b02, l2);
const expansion& b03_l3 = expansion_product(b03, l3);
const expansion& DeltaLambda0 = expansion_sum4(b01_l1, b02_l2, b03_l3, b00);
const expansion& b11_l1 = expansion_product(b11, l1);
const expansion& b12_l2 = expansion_product(b12, l2);
const expansion& b13_l3 = expansion_product(b13, l3);
const expansion& DeltaLambda1 = expansion_sum4(b11_l1, b12_l2, b13_l3, b10);
const expansion& b21_l1 = expansion_product(b21, l1);
const expansion& b22_l2 = expansion_product(b22, l2);
const expansion& b23_l3 = expansion_product(b23, l3);
const expansion& DeltaLambda2 = expansion_sum4(b21_l1, b22_l2, b23_l3, b20);
const expansion& b31_l1 = expansion_product(b31, l1);
const expansion& b32_l2 = expansion_product(b32, l2);
const expansion& b33_l3 = expansion_product(b33, l3);
const expansion& DeltaLambda3 = expansion_sum4(b31_l1, b32_l2, b33_l3, b30);
// r = Delta*l4 - (
// a40*DeltaLambda0+
// a41*DeltaLambda1+
// a42*DeltaLambda2+
// a43*DeltaLambda3
// )
const expansion& r0 = expansion_product(Delta, l4);
const expansion& r1 = expansion_product(a40, DeltaLambda0);
const expansion& r2 = expansion_product(a41, DeltaLambda1);
const expansion& r3 = expansion_product(a42, DeltaLambda2);
const expansion& r4 = expansion_product(a43, DeltaLambda3);
const expansion& r1234 = expansion_sum4(r1, r2, r3, r4);
const expansion& r = expansion_diff(r0, r1234);
Sign r_sign = r.sign();
// Simulation of Simplicity (symbolic perturbation)
if(r_sign == ZERO) {
stats_side4.log_SOS();
const double* p_sort[5];
p_sort[0] = p0;
p_sort[1] = p1;
p_sort[2] = p2;
p_sort[3] = p3;
p_sort[4] = p4;
SOS_sort(p_sort, p_sort + 5, dim);
for(index_t i = 0; i < 5; ++i) {
if(p_sort[i] == p0) {
const expansion& z1_0 = expansion_sum3(b01, b02, b03);
const expansion& z1 = expansion_product(a30, z1_0);
const expansion& z2_0 = expansion_sum3(b11, b12, b13);
const expansion& z2 = expansion_product(a31, z2_0);
const expansion& z3_0 = expansion_sum3(b21, b22, b23);
const expansion& z3 = expansion_product(a32, z3_0);
const expansion& z4_0 = expansion_sum3(b31, b32, b33);
const expansion& z4 = expansion_product(a33, z4_0);
const expansion& z1234 = expansion_sum4(z1, z2, z3, z4);
const expansion& z = expansion_diff(Delta, z1234);
Sign z_sign = z.sign();
if(z_sign != ZERO) {
return Sign(Delta_sign * z_sign);
}
} else if(p_sort[i] == p1) {
const expansion& z1 = expansion_product(a30, b01);
const expansion& z2 = expansion_product(a31, b11);
const expansion& z3 = expansion_product(a32, b21);
const expansion& z4 = expansion_product(a33, b31);
const expansion& z = expansion_sum4(z1, z2, z3, z4);
Sign z_sign = z.sign();
if(z_sign != ZERO) {
return Sign(Delta_sign * z_sign);
}
} else if(p_sort[i] == p2) {
const expansion& z1 = expansion_product(a30, b02);
const expansion& z2 = expansion_product(a31, b12);
const expansion& z3 = expansion_product(a32, b22);
const expansion& z4 = expansion_product(a33, b32);
const expansion& z = expansion_sum4(z1, z2, z3, z4);
Sign z_sign = z.sign();
if(z_sign != ZERO) {
return Sign(Delta_sign * z_sign);
}
} else if(p_sort[i] == p3) {
const expansion& z1 = expansion_product(a30, b03);
const expansion& z2 = expansion_product(a31, b13);
const expansion& z3 = expansion_product(a32, b23);
const expansion& z4 = expansion_product(a33, b33);
const expansion& z = expansion_sum4(z1, z2, z3, z4);
Sign z_sign = z.sign();
if(z_sign != ZERO) {
return Sign(Delta_sign * z_sign);
}
} else if(p_sort[i] == p4) {
return NEGATIVE;
}
}
geo_assert_not_reached;
}
return Sign(r_sign * Delta_sign);
}
Sign side4_4d_SOS(
const double* p0,
const double* p1, const double* p2, const double* p3, const double* p4,
const double* q0, const double* q1, const double* q2, const double* q3
) {
Sign result = Sign(side4_4d_filter(p0, p1, p2, p3, p4, q0, q1, q2, q3));
if(result == ZERO) {
result = side4_exact_SOS(p0, p1, p2, p3, p4, q0, q1, q2, q3, 4);
}
return result;
}
Sign side4_6d_SOS(
const double* p0,
const double* p1, const double* p2, const double* p3, const double* p4,
const double* q0, const double* q1, const double* q2, const double* q3
) {
Sign result = Sign(side4_6d_filter(p0, p1, p2, p3, p4, q0, q1, q2, q3));
if(result == ZERO) {
result = side4_exact_SOS(p0, p1, p2, p3, p4, q0, q1, q2, q3, 6);
}
return result;
}
Sign side4_7d_SOS(
const double* p0,
const double* p1, const double* p2, const double* p3, const double* p4,
const double* q0, const double* q1, const double* q2, const double* q3
) {
Sign result = Sign(side4_7d_filter(p0, p1, p2, p3, p4, q0, q1, q2, q3));
if(result == ZERO) {
result = side4_exact_SOS(p0, p1, p2, p3, p4, q0, q1, q2, q3, 7);
}
return result;
}
Sign side4_8d_SOS(
const double* p0,
const double* p1, const double* p2, const double* p3, const double* p4,
const double* q0, const double* q1, const double* q2, const double* q3
) {
Sign result = Sign(side4_8d_filter(p0, p1, p2, p3, p4, q0, q1, q2, q3));
if(result == ZERO) {
result = side4_exact_SOS(p0, p1, p2, p3, p4, q0, q1, q2, q3, 8);
}
return result;
}
// ============ orient2d ==============================================
Sign orient_2d_exact(
const double* p0, const double* p1, const double* p2
) {
stats_orient2d.log_exact();
const expansion& a11 = expansion_diff(p1[0], p0[0]);
const expansion& a12 = expansion_diff(p1[1], p0[1]);
const expansion& a21 = expansion_diff(p2[0], p0[0]);
const expansion& a22 = expansion_diff(p2[1], p0[1]);
const expansion& Delta = expansion_det2x2(
a11, a12, a21, a22
);
return Delta.sign();
}
// ============ orient3d ==============================================
Sign orient_3d_exact(
const double* p0, const double* p1,
const double* p2, const double* p3
) {
stats_orient3d.log_exact();
const expansion& a11 = expansion_diff(p1[0], p0[0]);
const expansion& a12 = expansion_diff(p1[1], p0[1]);
const expansion& a13 = expansion_diff(p1[2], p0[2]);
const expansion& a21 = expansion_diff(p2[0], p0[0]);
const expansion& a22 = expansion_diff(p2[1], p0[1]);
const expansion& a23 = expansion_diff(p2[2], p0[2]);
const expansion& a31 = expansion_diff(p3[0], p0[0]);
const expansion& a32 = expansion_diff(p3[1], p0[1]);
const expansion& a33 = expansion_diff(p3[2], p0[2]);
const expansion& Delta = expansion_det3x3(
a11, a12, a13, a21, a22, a23, a31, a32, a33
);
return Delta.sign();
}
Sign side4h_3d_exact_SOS(
const double* p0, const double* p1,
const double* p2, const double* p3, const double* p4,
double h0, double h1, double h2, double h3, double h4,
bool sos = true
) {
stats_orient3dh.log_exact();
const expansion& a11 = expansion_diff(p1[0], p0[0]);
const expansion& a12 = expansion_diff(p1[1], p0[1]);
const expansion& a13 = expansion_diff(p1[2], p0[2]);
const expansion& a14 = expansion_diff(h0,h1);
const expansion& a21 = expansion_diff(p2[0], p0[0]);
const expansion& a22 = expansion_diff(p2[1], p0[1]);
const expansion& a23 = expansion_diff(p2[2], p0[2]);
const expansion& a24 = expansion_diff(h0,h2);
const expansion& a31 = expansion_diff(p3[0], p0[0]);
const expansion& a32 = expansion_diff(p3[1], p0[1]);
const expansion& a33 = expansion_diff(p3[2], p0[2]);
const expansion& a34 = expansion_diff(h0,h3);
const expansion& a41 = expansion_diff(p4[0], p0[0]);
const expansion& a42 = expansion_diff(p4[1], p0[1]);
const expansion& a43 = expansion_diff(p4[2], p0[2]);
const expansion& a44 = expansion_diff(h0,h4);
// Note: we could probably reuse some of the 2x2 co-factors
// (but for now I'd rather keep this form that is easier to
// read ... and to debug if need be !)
const expansion& Delta1 = expansion_det3x3(
a21, a22, a23,
a31, a32, a33,
a41, a42, a43
);
const expansion& Delta2 = expansion_det3x3(
a11, a12, a13,
a31, a32, a33,
a41, a42, a43
);
const expansion& Delta3 = expansion_det3x3(
a11, a12, a13,
a21, a22, a23,
a41, a42, a43
);
const expansion& Delta4 = expansion_det3x3(
a11, a12, a13,
a21, a22, a23,
a31, a32, a33
);
Sign Delta4_sign = Delta4.sign();
geo_assert(Delta4_sign != ZERO);
const expansion& r_1 = expansion_product(Delta1, a14);
const expansion& r_2 = expansion_product(Delta2, a24).negate();
const expansion& r_3 = expansion_product(Delta3, a34);
const expansion& r_4 = expansion_product(Delta4, a44).negate();
const expansion& r = expansion_sum4(r_1, r_2, r_3, r_4);
Sign r_sign = r.sign();
// Simulation of Simplicity (symbolic perturbation)
if(sos && r_sign == ZERO) {
stats_orient3dh.log_SOS();
const double* p_sort[5];
p_sort[0] = p0;
p_sort[1] = p1;
p_sort[2] = p2;
p_sort[3] = p3;
p_sort[4] = p4;
SOS_sort(p_sort, p_sort + 5, 3);
for(index_t i = 0; i < 5; ++i) {
if(p_sort[i] == p0) {
const expansion& z1 = expansion_diff(Delta2, Delta1);
const expansion& z2 = expansion_diff(Delta4, Delta3);
const expansion& z = expansion_sum(z1, z2);
Sign z_sign = z.sign();
if(z_sign != ZERO) {
return Sign(Delta4_sign * z_sign);
}
} else if(p_sort[i] == p1) {
Sign Delta1_sign = Delta1.sign();
if(Delta1_sign != ZERO) {
return Sign(Delta4_sign * Delta1_sign);
}
} else if(p_sort[i] == p2) {
Sign Delta2_sign = Delta2.sign();
if(Delta2_sign != ZERO) {
return Sign(-Delta4_sign * Delta2_sign);
}
} else if(p_sort[i] == p3) {
Sign Delta3_sign = Delta3.sign();
if(Delta3_sign != ZERO) {
return Sign(Delta4_sign * Delta3_sign);
}
} else if(p_sort[i] == p4) {
return NEGATIVE;
}
}
}
return Sign(Delta4_sign * r_sign);
}
Sign side3h_2d_exact_SOS(
const double* p0, const double* p1,
const double* p2, const double* p3,
double h0, double h1, double h2, double h3,
bool sos = true
) {
const expansion& a11 = expansion_diff(p1[0], p0[0]);
const expansion& a12 = expansion_diff(p1[1], p0[1]);
const expansion& a13 = expansion_diff(h0,h1);
const expansion& a21 = expansion_diff(p2[0], p0[0]);
const expansion& a22 = expansion_diff(p2[1], p0[1]);
const expansion& a23 = expansion_diff(h0,h2);
const expansion& a31 = expansion_diff(p3[0], p0[0]);
const expansion& a32 = expansion_diff(p3[1], p0[1]);
const expansion& a33 = expansion_diff(h0,h3);
const expansion& Delta1 = expansion_det2x2(
a21, a22,
a31, a32
);
const expansion& Delta2 = expansion_det2x2(
a11, a12,
a31, a32
);
const expansion& Delta3 = expansion_det2x2(
a11, a12,
a21, a22
);
Sign Delta3_sign = Delta3.sign();
geo_assert(Delta3_sign != ZERO);
const expansion& r_1 = expansion_product(Delta1, a13);
const expansion& r_2 = expansion_product(Delta2, a23).negate();
const expansion& r_3 = expansion_product(Delta3, a33);
const expansion& r = expansion_sum3(r_1, r_2, r_3);
Sign r_sign = r.sign();
// Simulation of Simplicity (symbolic perturbation)
if(sos && r_sign == ZERO) {
const double* p_sort[4];
p_sort[0] = p0;
p_sort[1] = p1;
p_sort[2] = p2;
p_sort[3] = p3;
SOS_sort(p_sort, p_sort + 4, 2);
for(index_t i = 0; i < 4; ++i) {
if(p_sort[i] == p0) {
const expansion& z1 = expansion_diff(Delta2, Delta1);
const expansion& z = expansion_sum(z1, Delta3);
Sign z_sign = z.sign();
if(z_sign != ZERO) {
return Sign(Delta3_sign * z_sign);
}
} else if(p_sort[i] == p1) {
Sign Delta1_sign = Delta1.sign();
if(Delta1_sign != ZERO) {
return Sign(Delta3_sign * Delta1_sign);
}
} else if(p_sort[i] == p2) {
Sign Delta2_sign = Delta2.sign();
if(Delta2_sign != ZERO) {
return Sign(-Delta3_sign * Delta2_sign);
}
} else if(p_sort[i] == p3) {
return NEGATIVE;
}
}
}
return Sign(Delta3_sign * r_sign);
}
// ================================ det and dot =======================
Sign det_3d_exact(
const double* p0, const double* p1, const double* p2
) {
stats_det3d.log_exact();
const expansion& p0_0 = expansion_create(p0[0]);
const expansion& p0_1 = expansion_create(p0[1]);
const expansion& p0_2 = expansion_create(p0[2]);
const expansion& p1_0 = expansion_create(p1[0]);
const expansion& p1_1 = expansion_create(p1[1]);
const expansion& p1_2 = expansion_create(p1[2]);
const expansion& p2_0 = expansion_create(p2[0]);
const expansion& p2_1 = expansion_create(p2[1]);
const expansion& p2_2 = expansion_create(p2[2]);
const expansion& Delta = expansion_det3x3(
p0_0, p0_1, p0_2,
p1_0, p1_1, p1_2,
p2_0, p2_1, p2_2
);
return Delta.sign();
}
bool aligned_3d_exact(
const double* p0, const double* p1, const double* p2
) {
const expansion& U_0 = expansion_diff(p1[0],p0[0]);
const expansion& U_1 = expansion_diff(p1[1],p0[1]);
const expansion& U_2 = expansion_diff(p1[2],p0[2]);
const expansion& V_0 = expansion_diff(p2[0],p0[0]);
const expansion& V_1 = expansion_diff(p2[1],p0[1]);
const expansion& V_2 = expansion_diff(p2[2],p0[2]);
const expansion& N_0 = expansion_det2x2(U_1, V_1, U_2, V_2);
const expansion& N_1 = expansion_det2x2(U_2, V_2, U_0, V_0);
const expansion& N_2 = expansion_det2x2(U_0, V_0, U_1, V_1);
return(
N_0.sign() == 0 &&
N_1.sign() == 0 &&
N_2.sign() == 0
);
}
Sign dot_3d_exact(
const double* p0, const double* p1, const double* p2
) {
const expansion& U_0 = expansion_diff(p1[0],p0[0]);
const expansion& U_1 = expansion_diff(p1[1],p0[1]);
const expansion& U_2 = expansion_diff(p1[2],p0[2]);
const expansion& V_0 = expansion_diff(p2[0],p0[0]);
const expansion& V_1 = expansion_diff(p2[1],p0[1]);
const expansion& V_2 = expansion_diff(p2[2],p0[2]);
const expansion& UV_0 = expansion_product(U_0, V_0);
const expansion& UV_1 = expansion_product(U_1, V_1);
const expansion& UV_2 = expansion_product(U_2, V_2);
const expansion& Delta = expansion_sum3(UV_0, UV_1, UV_2);
return Delta.sign();
}
Sign dot_compare_3d_exact(
const double* v0, const double* v1, const double* v2
) {
const expansion& d01_0 = expansion_product(v0[0], v1[0]);
const expansion& d01_1 = expansion_product(v0[1], v1[1]);
const expansion& d01_2 = expansion_product(v0[2], v1[2]);
const expansion& d01_12 = expansion_sum(d01_1, d01_2);
const expansion& d01 = expansion_sum(d01_0, d01_12);
const expansion& d02_0 = expansion_product(v0[0], v2[0]);
const expansion& d02_1 = expansion_product(v0[1], v2[1]);
const expansion& d02_2 = expansion_product(v0[2], v2[2]);
const expansion& d02_12 = expansion_sum(d02_1, d02_2);
const expansion& d02 = expansion_sum(d02_0, d02_12);
const expansion& result = expansion_diff(d01, d02);
return result.sign();
}
}
namespace GEO {
namespace PCK {
void set_SOS_mode(SOSMode m) {
SOS_mode_ = m;
}
SOSMode get_SOS_mode() {
return SOS_mode_;
}
Sign side1_SOS(
const double* p0, const double* p1,
const double* q0,
coord_index_t DIM
) {
stats_side1.log_invoke();
switch(DIM) {
case 3:
return side1_3d_SOS(p0, p1, q0);
case 4:
return side1_4d_SOS(p0, p1, q0);
case 6:
return side1_6d_SOS(p0, p1, q0);
case 7:
return side1_7d_SOS(p0, p1, q0);
case 8:
return side1_8d_SOS(p0, p1, q0);
}
geo_assert_not_reached;
}
Sign side2_SOS(
const double* p0, const double* p1, const double* p2,
const double* q0, const double* q1,
coord_index_t DIM
) {
stats_side2.log_invoke();
switch(DIM) {
case 3:
return side2_3d_SOS(p0, p1, p2, q0, q1);
case 4:
return side2_4d_SOS(p0, p1, p2, q0, q1);
case 6:
return side2_6d_SOS(p0, p1, p2, q0, q1);
case 7:
return side2_7d_SOS(p0, p1, p2, q0, q1);
case 8:
return side2_8d_SOS(p0, p1, p2, q0, q1);
}
geo_assert_not_reached;
}
Sign side3_SOS(
const double* p0, const double* p1,
const double* p2, const double* p3,
const double* q0, const double* q1, const double* q2,
coord_index_t DIM
) {
stats_side3.log_invoke();
switch(DIM) {
case 3:
return side3_3d_SOS(p0, p1, p2, p3, q0, q1, q2);
case 4:
return side3_4d_SOS(p0, p1, p2, p3, q0, q1, q2);
case 6:
return side3_6d_SOS(p0, p1, p2, p3, q0, q1, q2);
case 7:
return side3_7d_SOS(p0, p1, p2, p3, q0, q1, q2);
case 8:
return side3_8d_SOS(p0, p1, p2, p3, q0, q1, q2);
}
geo_assert_not_reached;
}
Sign side3_3dlifted_SOS(
const double* p0, const double* p1,
const double* p2, const double* p3,
double h0, double h1, double h2, double h3,
const double* q0, const double* q1, const double* q2,
bool SOS
) {
Sign result = Sign(
side3h_3d_filter(p0, p1, p2, p3, h0, h1, h2, h3, q0, q1, q2)
);
if(SOS && result == ZERO) {
result = side3h_exact_SOS(
p0, p1, p2, p3, h0, h1, h2, h3, q0, q1, q2
);
}
return result;
}
Sign side4_SOS(
const double* p0,
const double* p1, const double* p2,
const double* p3, const double* p4,
const double* q0, const double* q1,
const double* q2, const double* q3,
coord_index_t DIM
) {
switch(DIM) {
case 3:
// 3d is a special case for side4()
// (intrinsic dim == ambient dim)
// therefore embedding tet q0,q1,q2,q3 is not needed.
// WARNING: cnt_side4_total is not incremented here,
// because it is
// incremented in side4_3d_SOS().
return side4_3d_SOS(p0, p1, p2, p3, p4);
case 4:
stats_side4.log_invoke();
return side4_4d_SOS(p0, p1, p2, p3, p4, q0, q1, q2, q3);
case 6:
stats_side4.log_invoke();
return side4_6d_SOS(p0, p1, p2, p3, p4, q0, q1, q2, q3);
case 7:
stats_side4.log_invoke();
return side4_7d_SOS(p0, p1, p2, p3, p4, q0, q1, q2, q3);
case 8:
stats_side4.log_invoke();
return side4_8d_SOS(p0, p1, p2, p3, p4, q0, q1, q2, q3);
}
geo_assert_not_reached;
}
Sign side4_3d(
const double* p0, const double* p1, const double* p2,
const double* p3, const double* p4
) {
stats_side4.log_invoke();
Sign result = Sign(side4_3d_filter(p0, p1, p2, p3, p4));
if(result == 0) {
// last argument is false: do not apply symbolic perturbation
result = side4_3d_exact_SOS(p0, p1, p2, p3, p4, false);
}
return result;
}
Sign side4_3d_SOS(
const double* p0, const double* p1,
const double* p2, const double* p3,
const double* p4
) {
stats_side4.log_invoke();
Sign result = Sign(side4_3d_filter(p0, p1, p2, p3, p4));
if(result == 0) {
result = side4_3d_exact_SOS(p0, p1, p2, p3, p4);
}
return result;
}
Sign in_sphere_3d_SOS(
const double* p0, const double* p1,
const double* p2, const double* p3,
const double* p4
) {
// in_sphere_3d is simply implemented using side4_3d.
// Both predicates are equivalent through duality as can
// be easily seen:
// side4_3d(p0,p1,p2,p3,p4) returns POSITIVE if
// d(q,p0) < d(q,p4)
// where q denotes the circumcenter of (p0,p1,p2,p3)
// Note that d(q,p0) = R (radius of circumscribed sphere)
// In other words, side4_3d(p0,p1,p2,p3,p4) returns POSITIVE if
// d(q,p4) > R which means whenever p4 is not in the
// circumscribed sphere of (p0,p1,p2,p3).
// Therefore:
// in_sphere_3d(p0,p1,p2,p3,p4) = -side4_3d(p0,p1,p2,p3,p4)
stats_side4.log_invoke();
// This specialized filter supposes that orient_3d(p0,p1,p2,p3) > 0
Sign result = Sign(in_sphere_3d_filter_optim(p0, p1, p2, p3, p4));
if(result == 0) {
result = side4_3d_exact_SOS(p0, p1, p2, p3, p4);
}
return Sign(-result);
}
Sign GEOGRAM_API in_circle_2d_SOS(
const double* p0, const double* p1, const double* p2,
const double* p3
) {
// in_circle_2d is simply implemented using side3_2d.
// Both predicates are equivalent through duality as can
// be easily seen:
// side3_2d(p0,p1,p2,p3,p0,p1,p2) returns POSITIVE if
// d(q,p0) < d(q,p3)
// where q denotes the circumcenter of (p0,p1,p2)
// Note that d(q,p0) = R (radius of circumscribed circle)
// In other words, side3_2d(p0,p1,p2,p3,p4) returns POSITIVE if
// d(q,p3) > R which means whenever p3 is not in the
// circumscribed circle of (p0,p1,p2).
// Therefore:
// in_circle_2d(p0,p1,p2,p3) = -side3_2d(p0,p1,p2,p3)
// TODO: implement specialized filter like the one used
// by "in-sphere".
Sign s = Sign(-side3_2d_filter(p0, p1, p2, p3, p0, p1, p2));
if(s != ZERO) {
return s;
}
return Sign(-side3_exact_SOS(p0, p1, p2, p3, p0, p1, p2, 2));
}
Sign GEOGRAM_API in_circle_3d_SOS(
const double* p0, const double* p1, const double* p2,
const double* p3
) {
// in_circle_3d is simply implemented using side3_3d.
// Both predicates are equivalent through duality as can
// be easily seen:
// side3_3d(p0,p1,p2,p3,p0,p1,p2) returns POSITIVE if
// d(q,p0) < d(q,p3)
// where q denotes the circumcenter of (p0,p1,p2)
// Note that d(q,p0) = R (radius of circumscribed circle)
// In other words, side3_3d(p0,p1,p2,p3,p4) returns POSITIVE if
// d(q,p3) > R which means whenever p3 is not in the
// circumscribed circle of (p0,p1,p2).
// Therefore:
// in_circle_3d(p0,p1,p2,p3) = -side3_3d(p0,p1,p2,p3)
return Sign(-side3_3d_SOS(p0,p1,p2,p3,p0,p1,p2));
}
Sign GEOGRAM_API in_circle_3dlifted_SOS(
const double* p0, const double* p1, const double* p2,
const double* p3,
double h0, double h1, double h2, double h3,
bool SOS
) {
// in_circle_3dlifted is simply implemented using side3_3dlifted.
// Both predicates are equivalent through duality
// (see comment in in_circle_3d_SOS(), the same
// remark applies).
return Sign(
-side3_3dlifted_SOS(p0,p1,p2,p3,h0,h1,h2,h3,p0,p1,p2,SOS)
);
}
Sign orient_2d(
const double* p0, const double* p1, const double* p2
) {
stats_orient2d.log_invoke();
Sign result = Sign(orient_2d_filter(p0, p1, p2));
if(result == 0) {
result = orient_2d_exact(p0, p1, p2);
}
return result;
}
Sign orient_2dlifted_SOS(
const double* p0, const double* p1,
const double* p2, const double* p3,
double h0, double h1, double h2, double h3
) {
Sign result = Sign(
side3_2dlifted_2d_filter(
p0, p1, p2, p3, h0, h1, h2, h3
)
);
if(result == 0) {
result = side3h_2d_exact_SOS(
p0, p1, p2, p3, h0, h1, h2, h3
);
}
// orient_3d() is opposite to side3h()
// (like in_sphere() that is opposite to side3())
return result;
}
Sign orient_3d(
const double* p0, const double* p1,
const double* p2, const double* p3
) {
stats_orient3d.log_invoke();
Sign result = Sign(orient_3d_filter(p0, p1, p2, p3));
if(result == 0) {
result = orient_3d_exact(p0, p1, p2, p3);
}
return result;
}
Sign orient_3dlifted(
const double* p0, const double* p1,
const double* p2, const double* p3, const double* p4,
double h0, double h1, double h2, double h3, double h4
) {
stats_orient3dh.log_invoke();
Sign result = Sign(
side4h_3d_filter(
p0, p1, p2, p3, p4, h0, h1, h2, h3, h4
)
);
if(result == 0) {
// last argument is false -> do not perturb.
result = side4h_3d_exact_SOS(
p0, p1, p2, p3, p4, h0, h1, h2, h3, h4, false
);
}
// orient_4d() is opposite to side4h()
// (like in_sphere() that is opposite to side4())
return Sign(-result);
}
Sign orient_3dlifted_SOS(
const double* p0, const double* p1,
const double* p2, const double* p3, const double* p4,
double h0, double h1, double h2, double h3, double h4
) {
stats_orient3dh.log_invoke();
Sign result = Sign(
side4h_3d_filter(
p0, p1, p2, p3, p4, h0, h1, h2, h3, h4
)
);
if(result == 0) {
result = side4h_3d_exact_SOS(
p0, p1, p2, p3, p4, h0, h1, h2, h3, h4
);
}
// orient_4d() is opposite to side4h()
// (like in_sphere() that is opposite to side4())
return Sign(-result);
}
Sign det_3d(
const double* p0, const double* p1, const double* p2
) {
stats_det3d.log_invoke();
Sign result = Sign(
det_3d_filter(p0, p1, p2)
);
if(result == 0) {
result = det_3d_exact(p0, p1, p2);
}
return result;
}
Sign det_4d(
const double* p0, const double* p1,
const double* p2, const double* p3
) {
stats_det4d.log_invoke();
Sign result = Sign(
det_4d_filter(p0, p1, p2, p3)
);
if(result == 0) {
stats_det4d.log_exact();
const expansion& p0_0 = expansion_create(p0[0]);
const expansion& p0_1 = expansion_create(p0[1]);
const expansion& p0_2 = expansion_create(p0[2]);
const expansion& p0_3 = expansion_create(p0[3]);
const expansion& p1_0 = expansion_create(p1[0]);
const expansion& p1_1 = expansion_create(p1[1]);
const expansion& p1_2 = expansion_create(p1[2]);
const expansion& p1_3 = expansion_create(p1[3]);
const expansion& p2_0 = expansion_create(p2[0]);
const expansion& p2_1 = expansion_create(p2[1]);
const expansion& p2_2 = expansion_create(p2[2]);
const expansion& p2_3 = expansion_create(p2[3]);
const expansion& p3_0 = expansion_create(p3[0]);
const expansion& p3_1 = expansion_create(p3[1]);
const expansion& p3_2 = expansion_create(p3[2]);
const expansion& p3_3 = expansion_create(p3[3]);
result = sign_of_expansion_determinant(
p0_0, p0_1, p0_2, p0_3,
p1_0, p1_1, p1_2, p1_3,
p2_0, p2_1, p2_2, p2_3,
p3_0, p3_1, p3_2, p3_3
);
}
return result;
}
Sign det_compare_4d(
const double* p0, const double* p1,
const double* p2, const double* p3,
const double* p4
) {
Sign result = Sign(
det_compare_4d_filter(p0, p1, p2, p3, p4)
);
if(result == 0) {
const expansion& p0_0 = expansion_create(p0[0]);
const expansion& p0_1 = expansion_create(p0[1]);
const expansion& p0_2 = expansion_create(p0[2]);
const expansion& p0_3 = expansion_create(p0[3]);
const expansion& p1_0 = expansion_create(p1[0]);
const expansion& p1_1 = expansion_create(p1[1]);
const expansion& p1_2 = expansion_create(p1[2]);
const expansion& p1_3 = expansion_create(p1[3]);
const expansion& p2_0 = expansion_create(p2[0]);
const expansion& p2_1 = expansion_create(p2[1]);
const expansion& p2_2 = expansion_create(p2[2]);
const expansion& p2_3 = expansion_create(p2[3]);
const expansion& a3_0 = expansion_diff(p4[0],p3[0]);
const expansion& a3_1 = expansion_diff(p4[1],p3[1]);
const expansion& a3_2 = expansion_diff(p4[2],p3[2]);
const expansion& a3_3 = expansion_diff(p4[3],p3[3]);
result = sign_of_expansion_determinant(
p0_0, p0_1, p0_2, p0_3,
p1_0, p1_1, p1_2, p1_3,
p2_0, p2_1, p2_2, p2_3,
a3_0, a3_1, a3_2, a3_3
);
}
return result;
}
bool aligned_3d(
const double* p0, const double* p1, const double* p2
) {
/*
Sign result = Sign(
aligned_3d_filter(p0,p1,p2)
);
if(result != 0) {
return false;
}
*/
return aligned_3d_exact(p0, p1, p2);
}
Sign dot_3d(
const double* p0, const double* p1, const double* p2
) {
Sign result = Sign(det_3d_filter(p0, p1, p2));
if(result == 0) {
result = dot_3d_exact(p0, p1, p2);
}
return result;
}
Sign dot_compare_3d(
const double* v0, const double* v1, const double* v2
) {
Sign result = Sign(dot_compare_3d_filter(v0, v1, v2));
if(result == 0) {
result = dot_compare_3d_exact(v0, v1, v2);
}
return result;
}
bool points_are_identical_2d(
const double* p1,
const double* p2
) {
return
(p1[0] == p2[0]) &&
(p1[1] == p2[1])
;
}
bool points_are_identical_3d(
const double* p1,
const double* p2
) {
return
(p1[0] == p2[0]) &&
(p1[1] == p2[1]) &&
(p1[2] == p2[2])
;
}
bool points_are_colinear_3d(
const double* p1,
const double* p2,
const double* p3
) {
// Colinearity is tested by using four coplanarity
// tests with four points that are not coplanar.
// TODO: use PCK::aligned_3d() instead (to be tested)
static const double q000[3] = {0.0, 0.0, 0.0};
static const double q001[3] = {0.0, 0.0, 1.0};
static const double q010[3] = {0.0, 1.0, 0.0};
static const double q100[3] = {1.0, 0.0, 0.0};
return
PCK::orient_3d(p1, p2, p3, q000) == ZERO &&
PCK::orient_3d(p1, p2, p3, q001) == ZERO &&
PCK::orient_3d(p1, p2, p3, q010) == ZERO &&
PCK::orient_3d(p1, p2, p3, q100) == ZERO
;
}
void initialize() {
expansion::initialize();
}
void terminate() {
// Nothing to do.
}
void show_stats() {
PredicateStats::show_all_stats();
expansion::show_all_stats();
}
}
}